Metrics for Rosa's TurbineBenchmark

analyze117.0ms (0.8%)

Memory

10.1MiB live, 204.1MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
25%	25%	74.9%	0.1%	0%	0%	0%	4
37.5%	37.4%	62.4%	0.1%	0%	0%	0%	5
37.5%	37.4%	62.4%	0.1%	0%	0%	0%	6
56.3%	56.2%	43.7%	0.1%	0%	0%	0%	7
65.6%	65.5%	34.3%	0.1%	0%	0%	0%	8
65.6%	65.5%	34.3%	0.1%	0%	0%	0%	9
76.6%	76.5%	23.4%	0.1%	0%	0%	0%	10
82%	81.9%	17.9%	0.1%	0%	0%	0%	11
82%	81.9%	17.9%	0.1%	0%	0%	0%	12

Compiler

Compiled 31 to 24 computations (22.6% saved)

sample1.5s (9.9%)

Memory

31.7MiB live, 2 186.4MiB allocated

Samples

971.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 761.0ms

ival-mult: 386.0ms (50.7% of total)

ival-sub: 166.0ms (21.8% of total)

ival-div: 141.0ms (18.5% of total)

ival-add: 40.0ms (5.3% of total)

exact: 17.0ms (2.2% of total)

ival-true: 7.0ms (0.9% of total)

ival-assert: 3.0ms (0.4% of total)

Bogosity

preprocess595.0ms (3.9%)

Memory

18.7MiB live, 606.6MiB allocated

Algorithm

1×	egg-herbie

Rules

16 612×	`lower-fma.f64`
16 612×	`lower-fma.f32`
6 932×	`lower-*.f32`
6 918×	`lower-*.f64`
1 710×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	268
1	270	264
2	1038	246
3	3557	243
4	7112	243
0	22	29
0	36	29
1	72	29
2	184	25
3	713	25
4	3939	25
5	7914	25
0	8146	23

Stop Event

1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Calls

Call 1

Inputs

(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))

Outputs

(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))

(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r r) (/.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (*.f64 w w)) (+.f64 v #s(literal -1 binary64))) #s(literal -3/2 binary64)))

Symmetry

(abs r)

(abs w)

explain290.0ms (1.9%)

Memory

28.1MiB live, 614.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
36	0	-	1	(4.981525225674215e+94 2.024833434025682e-157 1.3119616877358422e+29)	`(.f64 (.f64 w w) r)`
20	0	-	3	(4.195861036441361e-240 2.4905023083464603e-213 1.9581533782718385e+110)	`(.f64 (.f64 (*.f64 w w) r) r)`
14	0	-	0	-	`(/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))`
13	0	-	1	(4.299565162082109e+289 8.178811303409454e-215 5.743508022538617e+57)	`(.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r))`
4	1	(-5.640308146796875e+38 8.55285102665607e-37 2.4537971010016417e+161)	0	-	`(/.f64 #s(literal 2 binary64) (*.f64 r r))`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`#s(literal 3 binary64)`
0	0	-	0	-	`#s(literal 9/2 binary64)`
0	0	-	0	-	`#s(literal 1/8 binary64)`
0	0	-	0	-	`v`
0	0	-	0	-	`(.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v)))`
0	0	-	0	-	`(*.f64 w w)`
0	0	-	0	-	`(*.f64 r r)`
0	0	-	0	-	`(-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))`
0	0	-	0	-	`(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))`
0	0	-	0	-	`(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))`
0	0	-	0	-	`(-.f64 #s(literal 1 binary64) v)`
0	0	-	0	-	`(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))`
0	0	-	0	-	`(*.f64 #s(literal 2 binary64) v)`
0	0	-	0	-	`#s(literal 2 binary64)`
0	0	-	0	-	`w`
0	0	-	0	-	`r`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))`	o/n	14	0
↳	`(.f64 (.f64 w w) r)`	overflow	56
↳	`(*.f64 w w)`	overflow	61
↳	`(.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r))`	overflow	73
↳	`(.f64 (.f64 (*.f64 w w) r) r)`	overflow	59
`*.f64`	`(.f64 (.f64 w w) r)`	*no**	13	0
`*.f64`	`(.f64 (.f64 w w) r)`	*nu**	11	0
`*.f64`	`(.f64 (.f64 (*.f64 w w) r) r)`	*no**	10	0

Confusion

	Predicted +	Predicted -
+	39	0
-	1	216

Precision

0.975

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	39	0	0
-	1	0	216

Precision?

0.975

Recall?

1.0

Freqs

test

number	freq
0	216
1	32
2	8

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

70.0ms

512×

valid

Compiler

Compiled 360 to 92 computations (74.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-mult: 19.0ms (49% of total)

ival-sub: 9.0ms (23.2% of total)

ival-div: 6.0ms (15.5% of total)

ival-add: 2.0ms (5.2% of total)

ival-true: 1.0ms (2.6% of total)

exact: 1.0ms (2.6% of total)

ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory: 0.7MiB live, 0.7MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	85.2%	(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))

Status

Accuracy

Program

▶

85.2%

(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))

Compiler

Compiled 32 to 22 computations (31.3% saved)

simplify422.0ms (2.7%)

Memory

-35.8MiB live, 740.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))
✓	cost-diff	128	(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))
✓	cost-diff	192	(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
✓	cost-diff	320	(.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v)))

Rules

16 612×	`lower-fma.f64`
16 612×	`lower-fma.f32`
6 932×	`lower-*.f32`
6 918×	`lower-*.f64`
1 710×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	146
0	36	146
1	72	146
2	184	134
3	713	134
4	3939	134
5	7914	134
0	8146	126

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
#s(literal 3 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal 2 binary64)
(*.f64 r r)
r
(/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))
(.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r))
(.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v)))
#s(literal 1/8 binary64)
(-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))
(*.f64 #s(literal 2 binary64) v)
v
(.f64 (.f64 (*.f64 w w) r) r)
(.f64 (.f64 w w) r)
(*.f64 w w)
w
(-.f64 #s(literal 1 binary64) v)
#s(literal 1 binary64)
#s(literal 9/2 binary64)

Outputs
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 r r) (/.f64 (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (.f64 w w)) (+.f64 v #s(literal -1 binary64))) #s(literal -3/2 binary64)))
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 r r) (/.f64 (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (.f64 w w)) (+.f64 v #s(literal -1 binary64))) #s(literal 3 binary64)))
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
#s(literal 3 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal 2 binary64)
(*.f64 r r)
r
(/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))
(.f64 (.f64 r r) (/.f64 (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (.f64 w w)) (-.f64 #s(literal 1 binary64) v)))
(.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r))
(.f64 (.f64 r r) (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (.f64 w w)))
(.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v)))
(fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))
#s(literal 1/8 binary64)
(-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))
(fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))
(*.f64 #s(literal 2 binary64) v)
v
(.f64 (.f64 (*.f64 w w) r) r)
(.f64 r (.f64 r (*.f64 w w)))
(.f64 (.f64 w w) r)
(.f64 r (.f64 w w))
(*.f64 w w)
w
(-.f64 #s(literal 1 binary64) v)
#s(literal 1 binary64)
#s(literal 9/2 binary64)

localize84.0ms (0.5%)

Memory

34.1MiB live, 112.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	96.0%	(.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r))
✓	accuracy	94.8%	(/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))
✓	accuracy	93.3%	(.f64 (.f64 (*.f64 w w) r) r)
✓	accuracy	87.7%	(.f64 (.f64 w w) r)

Samples

60.0ms

256×

valid

Compiler

Compiled 148 to 24 computations (83.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-mult: 9.0ms (47.7% of total)

ival-sub: 4.0ms (21.2% of total)

ival-div: 3.0ms (15.9% of total)

ival-add: 1.0ms (5.3% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series34.0ms (0.2%)

Memory

-19.9MiB live, 56.3MiB allocated

Counts

8 → 216

Calls

Call 1

Inputs
#s(alt (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (patch (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) #<representation binary64>) () ())
#s(alt (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) (patch (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) (patch (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v)) (patch (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 w w) r) (patch (.f64 (.f64 w w) r) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (.f64 w w) r) r) (patch (.f64 (.f64 (.f64 w w) r) r) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) (patch (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) #<representation binary64>) () ())

Outputs
#s(alt 3/8 (taylor 0 v) (#s(alt (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (patch (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) #<representation binary64>) () ())) ())
#s(alt (+ 3/8 (* -1/4 v)) (taylor 0 v) (#s(alt (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (patch (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) #<representation binary64>) () ())) ())
#s(alt (+ 3/8 (* -1/4 v)) (taylor 0 v) (#s(alt (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (patch (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) #<representation binary64>) () ())) ())
#s(alt (+ 3/8 (* -1/4 v)) (taylor 0 v) (#s(alt (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (patch (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 v) (taylor inf v) (#s(alt (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (patch (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) #<representation binary64>) () ())) ())
#s(alt (* v (- (* 3/8 (/ 1 v)) 1/4)) (taylor inf v) (#s(alt (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (patch (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) #<representation binary64>) () ())) ())
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#s(alt (* -1/4 (* (pow r 2) (* v (pow w 2)))) (taylor -inf v) (#s(alt (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) (patch (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) (taylor -inf v) (#s(alt (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) (patch (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) (taylor -inf v) (#s(alt (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) (patch (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) (taylor -inf v) (#s(alt (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) (patch (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) (taylor 0 w) (#s(alt (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) (patch (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) (taylor 0 w) (#s(alt (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) (patch (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) (taylor 0 w) (#s(alt (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) (patch (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) (taylor 0 w) (#s(alt (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) (patch (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) (taylor inf w) (#s(alt (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) (patch (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) (taylor inf w) (#s(alt (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) (patch (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) (taylor inf w) (#s(alt (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) (patch (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) (taylor inf w) (#s(alt (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) (patch (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) (taylor -inf w) (#s(alt (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) (patch (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) (taylor -inf w) (#s(alt (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) (patch (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) (taylor -inf w) (#s(alt (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) (patch (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) (taylor -inf w) (#s(alt (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) (patch (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) (taylor 0 r) (#s(alt (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) (patch (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) (taylor 0 r) (#s(alt (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) (patch (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) (taylor 0 r) (#s(alt (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) (patch (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) (taylor 0 r) (#s(alt (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) (patch (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) (taylor inf r) (#s(alt (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) (patch (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) (taylor inf r) (#s(alt (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) (patch (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) (taylor inf r) (#s(alt (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) (patch (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) (taylor inf r) (#s(alt (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) (patch (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) (taylor -inf r) (#s(alt (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) (patch (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) (taylor -inf r) (#s(alt (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) (patch (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) (taylor -inf r) (#s(alt (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) (patch (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) (taylor -inf r) (#s(alt (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) (patch (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) #<representation binary64>) () ())) ())

Calls

54 calls:

Time	Variable		Point	Expression
4.0ms	v	@	inf	(* 1/8 (- 3 (* 2 v)))
1.0ms	r	@	0	(* (* w w) r)
1.0ms	w	@	0	(- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2)
1.0ms	v	@	0	(- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2)
1.0ms	r	@	0	(- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2)

simplify573.0ms (3.7%)

Memory

16.4MiB live, 534.6MiB allocated

Algorithm

1×	egg-herbie

Rules

14 382×	`lower-fma.f64`
14 382×	`lower-fma.f32`
5 144×	`lower-+.f64`
5 144×	`lower-+.f32`
4 118×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	227	4018
1	745	3856
2	2580	3578
0	8212	3390

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

Calls

Call 1

Inputs
3/8
(+ 3/8 (* -1/4 v))
(+ 3/8 (* -1/4 v))
(+ 3/8 (* -1/4 v))
(* -1/4 v)
(* v (- (* 3/8 (/ 1 v)) 1/4))
(* v (- (* 3/8 (/ 1 v)) 1/4))
(* v (- (* 3/8 (/ 1 v)) 1/4))
(* -1/4 v)
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))
(/ 2 (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(- (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))))
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2)))))))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (* 2 (/ 1 (pow r 2))) 3/2)
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(/ 2 (pow r 2))
(/ (+ 2 (* 3 (pow r 2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))))) (pow r 2))
(/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))))) (pow r 2))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* (pow r 2) (- (* 3 (/ 1 (pow r 2))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v)))))
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v)))))
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v)))))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* (pow r 2) (- (* 3 (/ 1 (pow r 2))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v)))))
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v)))))
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v)))))
(- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 3/8 (* (pow r 2) (pow w 2))))
(- (+ 3 (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2))))) (* 3/8 (* (pow r 2) (pow w 2))))
(- (+ 3 (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))) (* 3/8 (* (pow r 2) (pow w 2))))
(- (+ 3 (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))) (* 3/8 (* (pow r 2) (pow w 2))))
(- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 1/4 (* (pow r 2) (pow w 2))))
(- (+ 3 (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2))))
(- (+ 3 (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2))))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ 3 (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2))))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2))))))
(- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 1/4 (* (pow r 2) (pow w 2))))
(- (+ 3 (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2))))
(- (+ 3 (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2))))
(- (+ 3 (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2))))
(+ 3 (* 2 (/ 1 (pow r 2))))
(+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))))
(+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))))
(+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v)))))
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v)))))
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v)))))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v)))))
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v)))))
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v)))))
3
(+ 3 (* -2 v))
(+ 3 (* -2 v))
(+ 3 (* -2 v))
(* -2 v)
(* v (- (* 3 (/ 1 v)) 2))
(* v (- (* 3 (/ 1 v)) 2))
(* v (- (* 3 (/ 1 v)) 2))
(* -2 v)
(* -1 (* v (- 2 (* 3 (/ 1 v)))))
(* -1 (* v (- 2 (* 3 (/ 1 v)))))
(* -1 (* v (- 2 (* 3 (/ 1 v)))))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* 3/8 (* (pow r 2) (pow w 2)))
(+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 3/8 (* (pow r 2) (pow w 2))))
(+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))
(+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))))
(* 1/4 (* (pow r 2) (pow w 2)))
(+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))
(+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2)))))
(+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 1/4 (* (pow r 2) (pow w 2))))))
(* 1/4 (* (pow r 2) (pow w 2)))
(+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))
(+ (* -1 (/ (+ (* -1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2))))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* 3/8 (* (pow r 2) (pow w 2)))
(+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2))))
(+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2))))
(+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2))))
(* -1/4 (* (pow r 2) (* v (pow w 2))))
(* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))))
(* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))))
(* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v))))
(* -1/4 (* (pow r 2) (* v (pow w 2))))
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))

Outputs
3/8
#s(literal 3/8 binary64)
(+ 3/8 (* -1/4 v))
(fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))
(+ 3/8 (* -1/4 v))
(fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))
(+ 3/8 (* -1/4 v))
(fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))
(* -1/4 v)
(*.f64 #s(literal -1/4 binary64) v)
(* v (- (* 3/8 (/ 1 v)) 1/4))
(*.f64 v (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v)))
(* v (- (* 3/8 (/ 1 v)) 1/4))
(*.f64 v (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v)))
(* v (- (* 3/8 (/ 1 v)) 1/4))
(*.f64 v (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v)))
(* -1/4 v)
(*.f64 #s(literal -1/4 binary64) v)
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))
(*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -3/8 binary64) v)) (neg.f64 v))
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))
(*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -3/8 binary64) v)) (neg.f64 v))
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))
(*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -3/8 binary64) v)) (neg.f64 v))
(/ 2 (pow r 2))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/.f64 (fma.f64 r (.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (.f64 r r))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/.f64 (fma.f64 (.f64 r r) (fma.f64 (.f64 r r) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 w (.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) #s(literal 2 binary64)) (.f64 r r))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/.f64 (fma.f64 (.f64 r r) (fma.f64 (.f64 r r) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 w (.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) #s(literal 2 binary64)) (.f64 r r))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(.f64 (.f64 r r) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) v)))
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(fma.f64 (.f64 r r) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 w (.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(fma.f64 (.f64 r r) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64))) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 w (.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) v))) #s(literal -3/2 binary64))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(fma.f64 (.f64 r r) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64))) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 w (.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) v))) #s(literal -3/2 binary64))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(.f64 (.f64 r r) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) v)))
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(fma.f64 (.f64 r r) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 w (.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(fma.f64 (.f64 r r) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64))) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 w (.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) v))) #s(literal -3/2 binary64))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(fma.f64 (.f64 r r) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64))) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 w (.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) v))) #s(literal -3/2 binary64))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 w w) (.f64 #s(literal 3/8 binary64) (.f64 r r)) #s(literal 3/2 binary64)))
(- (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 r (.f64 r (.f64 w w))) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)))
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(-.f64 (fma.f64 v (.f64 (.f64 r (.f64 r (.f64 w w))) (fma.f64 v #s(literal -1/8 binary64) #s(literal -1/8 binary64))) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 (.f64 w w) (.f64 #s(literal 3/8 binary64) (.f64 r r)) #s(literal 3/2 binary64)))
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(fma.f64 v (.f64 v (.f64 (.f64 r (.f64 r (.f64 w w))) (fma.f64 v #s(literal -1/8 binary64) #s(literal -1/8 binary64)))) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 r (.f64 r (.f64 w w))) (-.f64 (.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64))))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(+.f64 #s(literal -3/2 binary64) (fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (.f64 r r))))
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
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(.f64 (.f64 r r) (.f64 (.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64)))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(.f64 (.f64 r r) (.f64 (.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64)))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(.f64 (.f64 r r) (.f64 (.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64)))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(.f64 (.f64 r r) (.f64 (.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64)))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(.f64 (.f64 r r) (.f64 (.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64)))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(.f64 (.f64 r r) (.f64 (.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64)))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(.f64 (.f64 r r) (.f64 (.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64)))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(.f64 (.f64 r r) (.f64 (.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64)))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(.f64 (.f64 r r) (.f64 (.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64)))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(.f64 (.f64 r r) (.f64 (.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64)))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(.f64 (.f64 r r) (.f64 (.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64)))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(.f64 (.f64 r r) (.f64 (.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64)))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(.f64 (.f64 r r) (.f64 (.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64)))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(.f64 (.f64 r r) (.f64 (.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64)))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(.f64 (.f64 r r) (.f64 (.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64)))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(.f64 (.f64 r r) (.f64 (.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64)))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(.f64 (.f64 r r) (.f64 (.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64)))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(.f64 (.f64 r r) (.f64 (.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64)))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(.f64 (.f64 r r) (.f64 (.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64)))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(.f64 (.f64 r r) (.f64 (.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64)))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(.f64 (.f64 r r) (.f64 (.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64)))
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))))
(.f64 (.f64 r r) (.f64 (.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1/8 binary64)))

rewrite374.0ms (2.4%)

Memory

-9.3MiB live, 586.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 012×	`lower-*.f32`
5 998×	`lower-*.f64`
5 632×	`lower-fma.f64`
5 632×	`lower-fma.f32`
4 766×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	114
0	36	114
1	149	104
2	1353	104
0	8965	94

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

8 → 399

Calls

Call 1

Inputs
(.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v)))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))
(-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))
(.f64 (.f64 w w) r)
(.f64 (.f64 (*.f64 w w) r) r)
(/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))
(.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r))

Outputs
(+.f64 #s(literal 3/8 binary64) (.f64 #s(literal 1/8 binary64) (.f64 v #s(literal -2 binary64))))
(+.f64 #s(literal 3/8 binary64) (.f64 (.f64 v #s(literal -2 binary64)) #s(literal 1/8 binary64)))
(/.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 27 binary64) (.f64 (.f64 v (.f64 v v)) #s(literal 8 binary64)))) (fma.f64 (*.f64 #s(literal 2 binary64) v) (fma.f64 #s(literal 2 binary64) v #s(literal 3 binary64)) #s(literal 9 binary64)))
(/.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 9 binary64) (.f64 (*.f64 v v) #s(literal 4 binary64)))) (fma.f64 #s(literal 2 binary64) v #s(literal 3 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 27 binary64) (.f64 (.f64 v (.f64 v v)) #s(literal 8 binary64))) #s(literal 1/8 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) v) (fma.f64 #s(literal 2 binary64) v #s(literal 3 binary64)) #s(literal 9 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 9 binary64) (.f64 (*.f64 v v) #s(literal 4 binary64))) #s(literal 1/8 binary64)) (fma.f64 #s(literal 2 binary64) v #s(literal 3 binary64)))
(/.f64 (neg.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 27 binary64) (.f64 (.f64 v (.f64 v v)) #s(literal 8 binary64))))) (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) v) (fma.f64 #s(literal 2 binary64) v #s(literal 3 binary64)) #s(literal 9 binary64))))
(/.f64 (neg.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 9 binary64) (.f64 (*.f64 v v) #s(literal 4 binary64))))) (neg.f64 (fma.f64 #s(literal 2 binary64) v #s(literal 3 binary64))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 27 binary64) (.f64 (.f64 v (.f64 v v)) #s(literal 8 binary64))) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) v) (fma.f64 #s(literal 2 binary64) v #s(literal 3 binary64)) #s(literal 9 binary64))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 9 binary64) (.f64 (*.f64 v v) #s(literal 4 binary64))) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 2 binary64) v #s(literal 3 binary64))))
(/.f64 (+.f64 #s(literal 27/512 binary64) (pow.f64 (.f64 #s(literal 1/8 binary64) (.f64 v #s(literal -2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 9/64 binary64) (-.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 v #s(literal -2 binary64))) (.f64 #s(literal 1/8 binary64) (.f64 v #s(literal -2 binary64)))) (.f64 #s(literal 3/8 binary64) (.f64 #s(literal 1/8 binary64) (.f64 v #s(literal -2 binary64)))))))
(/.f64 (+.f64 #s(literal 27/512 binary64) (pow.f64 (.f64 (.f64 v #s(literal -2 binary64)) #s(literal 1/8 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 9/64 binary64) (-.f64 (.f64 (.f64 (.f64 v #s(literal -2 binary64)) #s(literal 1/8 binary64)) (.f64 (.f64 v #s(literal -2 binary64)) #s(literal 1/8 binary64))) (.f64 #s(literal 3/8 binary64) (.f64 (.f64 v #s(literal -2 binary64)) #s(literal 1/8 binary64))))))
(*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))
(*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64))
(+.f64 #s(literal 3 binary64) (+.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (.f64 (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 w (.f64 r w)))) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal -9/2 binary64)))
(+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))))
(+.f64 #s(literal 3 binary64) (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (.f64 (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 w (.f64 r w)))) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (-.f64 #s(literal 3 binary64) (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))))
(+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (neg.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))))
(+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 r (.f64 w (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v)) #s(literal -9/2 binary64)))
(+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (-.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 r (.f64 w (.f64 r w))))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)))
(+.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 r (.f64 w (.f64 r w)))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) #s(literal -9/2 binary64))
(+.f64 #s(literal -9/2 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 r (.f64 w (.f64 r w)))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)))
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (-.f64 (.f64 (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 w (.f64 r w)))) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal -9/2 binary64)))
(-.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 r (.f64 w (.f64 r w)))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) #s(literal 9/2 binary64))
(-.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 r (.f64 w (.f64 r w)))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r)))) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 r (.f64 w (.f64 r w)))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 r (.f64 w (.f64 r w)))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r)))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 r (.f64 w (.f64 r w)))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r)))) #s(literal 9/2 binary64) #s(literal 81/4 binary64)))) (/.f64 #s(literal 729/8 binary64) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 r (.f64 w (.f64 r w)))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 r (.f64 w (.f64 r w)))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r)))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 r (.f64 w (.f64 r w)))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) #s(literal 9/2 binary64) #s(literal 81/4 binary64)))))
(-.f64 (/.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 r (.f64 w (.f64 r w)))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 r (.f64 w (.f64 r w)))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))))) (+.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 r (.f64 w (.f64 r w)))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r)))) #s(literal 9/2 binary64))) (/.f64 #s(literal 81/4 binary64) (+.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 r (.f64 w (.f64 r w)))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) #s(literal 9/2 binary64))))
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(.f64 (/.f64 (.f64 w w) (-.f64 #s(literal 1 binary64) (.f64 v v))) (/.f64 (.f64 (.f64 r r) (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal 1 binary64)))))
(.f64 (/.f64 (.f64 w (.f64 r w)) (-.f64 #s(literal 1 binary64) (.f64 v (.f64 v v)))) (/.f64 (.f64 r (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 v v v)))))
(.f64 (/.f64 (.f64 w (.f64 r w)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (/.f64 (.f64 r (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal 1 binary64)))))
(.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 (neg.f64 (.f64 r (.f64 w (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v)))
(.f64 (/.f64 (.f64 r (.f64 w (.f64 r w))) #s(literal -1 binary64)) (/.f64 (neg.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)))
(.f64 (/.f64 (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 w (*.f64 r w)))) #s(literal -1 binary64)) (/.f64 (neg.f64 r) (-.f64 #s(literal 1 binary64) v)))
(.f64 (/.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 1 binary64) (.f64 v (.f64 v v)))) (/.f64 (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 r (.f64 w (*.f64 r w)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 v v v)))))
(.f64 (/.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 1 binary64) (.f64 v v))) (/.f64 (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 r (.f64 w (.f64 r w)))) (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal 1 binary64)))))
(.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v (.f64 v v)))) (/.f64 (.f64 r (.f64 w (*.f64 r w))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 v v v)))))
(.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v))) (/.f64 (.f64 r (.f64 w (.f64 r w))) (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal 1 binary64)))))
(.f64 (/.f64 (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 w (.f64 r w)))) (-.f64 #s(literal 1 binary64) (.f64 v (*.f64 v v)))) (/.f64 r (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 v v v)))))
(.f64 (/.f64 (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 w (.f64 r w)))) (-.f64 #s(literal 1 binary64) (.f64 v v))) (/.f64 r (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal 1 binary64)))))
(.f64 (/.f64 (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 r (.f64 w (.f64 r w)))) (-.f64 #s(literal 1 binary64) (.f64 v (*.f64 v v)))) (/.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 v v v)))))
(.f64 (/.f64 (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 r (.f64 w (.f64 r w)))) (-.f64 #s(literal 1 binary64) (.f64 v v))) (/.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal 1 binary64)))))
(.f64 (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (-.f64 #s(literal 1 binary64) (.f64 v (.f64 v v)))) (/.f64 (.f64 w (*.f64 r w)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 v v v)))))
(.f64 (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (-.f64 #s(literal 1 binary64) (.f64 v v))) (/.f64 (.f64 w (.f64 r w)) (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal 1 binary64)))))
(.f64 (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 w w)) (-.f64 #s(literal 1 binary64) (.f64 v (.f64 v v)))) (/.f64 (*.f64 r r) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 v v v)))))
(.f64 (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 w w)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (/.f64 (.f64 r r) (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal 1 binary64)))))
(.f64 (/.f64 (.f64 (.f64 r (.f64 w (.f64 r w))) #s(literal 1/8 binary64)) (-.f64 #s(literal 1 binary64) (.f64 v (*.f64 v v)))) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 v v v)))))
(.f64 (/.f64 (.f64 (.f64 r (.f64 w (.f64 r w))) #s(literal 1/8 binary64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal 1 binary64)))))
(.f64 (/.f64 (neg.f64 (.f64 r (.f64 w (.f64 r w)))) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v)))
(.f64 (/.f64 (neg.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal -1 binary64)) (.f64 (.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))))
(.f64 (/.f64 (neg.f64 (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 w (*.f64 r w))))) #s(literal -1 binary64)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))
(.f64 #s(literal 1/8 binary64) (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 r (.f64 w (*.f64 r w)))))
(.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 r (.f64 w (*.f64 r w)))))
(.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 r (.f64 w (*.f64 r w))))
(.f64 r (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 w (*.f64 r w)))))
(.f64 (.f64 w w) (.f64 (.f64 r r) (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))))
(.f64 (.f64 w (.f64 r w)) (.f64 r (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))))
(.f64 (.f64 r (.f64 w (.f64 r w))) (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))
(.f64 (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 w (*.f64 r w)))) r)
(.f64 (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 r (.f64 w (*.f64 r w)))) #s(literal 1/8 binary64))
(.f64 (.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (.f64 w (*.f64 r w)))
(.f64 (.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 w w)) (*.f64 r r))
(.f64 (.f64 (.f64 r (.f64 w (*.f64 r w))) #s(literal 1/8 binary64)) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))

eval82.0ms (0.5%)

Memory: 21.2MiB live, 213.7MiB allocated
Compiler: Compiled 29 622 to 2 010 computations (93.2% saved)

prune99.0ms (0.6%)

Memory

-19.1MiB live, 228.4MiB allocated

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	594	21	615
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	595	21	616

Accuracy

100.0%

Counts

616 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	95.5%	(fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal 3 binary64) (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (.f64 w (.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))))
	22.4%	(/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 r (.f64 w (.f64 r w)))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r)))) #s(literal 3 binary64)) #s(literal -729/8 binary64)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 r (.f64 w (.f64 r w)))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 r (.f64 w (.f64 r w)))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r)))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 r (.f64 w (.f64 r w)))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r)))) #s(literal 9/2 binary64) #s(literal 81/4 binary64))))
	92.7%	(-.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 r (.f64 w (.f64 r w)))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) #s(literal 9/2 binary64))
	56.7%	(-.f64 (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 r r) (.f64 r r))) #s(literal 9 binary64)) (-.f64 #s(literal 1 binary64) v) (.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3 binary64)) (.f64 #s(literal -1/8 binary64) (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 r (.f64 w (.f64 r w))))))) (.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
	89.2%	(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (.f64 w (.f64 r w))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
	94.5%	(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 r w) (*.f64 r w))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
	86.1%	(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 w (.f64 w (*.f64 r r)))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
	92.7%	(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) v) (.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 r (.f64 w (.f64 r w))))))) #s(literal 9/2 binary64))
▶	92.9%	(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (.f64 (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 w (.f64 r w)))) (*.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v))))) #s(literal 9/2 binary64))
	75.7%	(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) #s(approx (/ ( (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)) (.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal 1/4 binary64))))) #s(literal 9/2 binary64))
▶	95.6%	(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)))
	52.5%	(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 (fma.f64 r (.f64 r #s(literal 3 binary64)) #s(literal 2 binary64)) (.f64 r r))) #s(literal 9/2 binary64))
	45.5%	(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64))
	73.7%	(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 r (.f64 r (.f64 w w))) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal 3 binary64)))) #s(literal 9/2 binary64))
▶	42.5%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
▶	75.7%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 w w) (.f64 #s(literal 3/8 binary64) (.f64 r r)) #s(literal 3/2 binary64))))
▶	72.7%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 r (.f64 r (.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64))))
	73.7%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 r (.f64 r (.f64 w w))) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64))))
	83.2%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (.f64 r r)))))
	56.8%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
	33.9%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (.f64 (.f64 r r) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) v))))

Compiler

Compiled 1 248 to 732 computations (41.3% saved)

simplify556.0ms (3.6%)

Memory

12.4MiB live, 662.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (.f64 (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 w (.f64 r w)))) (*.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v)))))
✓	cost-diff	192	(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (.f64 (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 w (.f64 r w)))) (*.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v))))) #s(literal 9/2 binary64))
✓	cost-diff	320	(*.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v)))
✓	cost-diff	320	(.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 w (.f64 r w))))
✓	cost-diff	0	(*.f64 r r)
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) (*.f64 r r))
✓	cost-diff	0	(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 r (.f64 r (.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)))
✓	cost-diff	0	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 r (.f64 r (.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64))))
✓	cost-diff	0	(*.f64 r r)
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) (*.f64 r r))
✓	cost-diff	0	(-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 w w) (.f64 #s(literal 3/8 binary64) (.f64 r r)) #s(literal 3/2 binary64)))
✓	cost-diff	0	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 w w) (.f64 #s(literal 3/8 binary64) (.f64 r r)) #s(literal 3/2 binary64))))
✓	cost-diff	0	(*.f64 r r)
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) (*.f64 r r))
✓	cost-diff	0	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) (*.f64 r r))
✓	cost-diff	0	(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
✓	cost-diff	192	(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)))
✓	cost-diff	320	(*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))

Rules

21 234×	`lower-fma.f32`
21 226×	`lower-fma.f64`
7 384×	`lower-*.f32`
7 358×	`lower-*.f64`
3 132×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	515
0	92	504
1	214	490
2	634	485
3	3223	485
0	8356	469

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)))
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
#s(literal 3 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal 2 binary64)
(*.f64 r r)
r
(fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (.f64 w (.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
(*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))
#s(literal 1/8 binary64)
(fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))
v
#s(literal -2 binary64)
(.f64 (.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))
(.f64 w (.f64 r w))
w
(*.f64 r w)
(/.f64 r (-.f64 #s(literal 1 binary64) v))
(-.f64 #s(literal 1 binary64) v)
#s(literal 1 binary64)
#s(literal 9/2 binary64)
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal 2 binary64)
(*.f64 r r)
r
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 w w) (.f64 #s(literal 3/8 binary64) (.f64 r r)) #s(literal 3/2 binary64))))
(-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 w w) (.f64 #s(literal 3/8 binary64) (.f64 r r)) #s(literal 3/2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal 2 binary64)
(*.f64 r r)
r
(fma.f64 (.f64 w w) (.f64 #s(literal 3/8 binary64) (*.f64 r r)) #s(literal 3/2 binary64))
(*.f64 w w)
w
(.f64 #s(literal 3/8 binary64) (.f64 r r))
#s(literal 3/8 binary64)
#s(literal 3/2 binary64)
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 r (.f64 r (.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64))))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 r (.f64 r (.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal 2 binary64)
(*.f64 r r)
r
(fma.f64 (.f64 r (.f64 r (*.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64))
(.f64 r (.f64 r (*.f64 w w)))
(.f64 r (.f64 w w))
(*.f64 w w)
w
(-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64))
(/.f64 #s(literal 1/8 binary64) v)
#s(literal 1/8 binary64)
v
#s(literal 1/4 binary64)
#s(literal -3/2 binary64)
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (.f64 (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 w (.f64 r w)))) (*.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v))))) #s(literal 9/2 binary64))
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (.f64 (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 w (.f64 r w)))) (*.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v)))))
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
#s(literal 3 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal 2 binary64)
(*.f64 r r)
r
(.f64 (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 w (.f64 r w)))) (.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v))))
(.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 w (.f64 r w))))
(fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))
v
#s(literal -2 binary64)
(.f64 #s(literal 1/8 binary64) (.f64 w (*.f64 r w)))
#s(literal 1/8 binary64)
(.f64 w (.f64 r w))
w
(*.f64 r w)
(*.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v)))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v))
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) v)
#s(literal 9/2 binary64)

Outputs
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 r (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w)) (.f64 w (/.f64 r (+.f64 v #s(literal -1 binary64)))) #s(literal -3/2 binary64)))
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
#s(literal 3 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal 2 binary64)
(*.f64 r r)
r
(fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (.f64 w (.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
(fma.f64 (.f64 r (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w)) (*.f64 r (/.f64 w (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
(*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))
(fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))
#s(literal 1/8 binary64)
(fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))
v
#s(literal -2 binary64)
(.f64 (.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))
(/.f64 (.f64 r (.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v))
(.f64 w (.f64 r w))
w
(*.f64 r w)
(/.f64 r (-.f64 #s(literal 1 binary64) v))
(-.f64 #s(literal 1 binary64) v)
#s(literal 1 binary64)
#s(literal 9/2 binary64)
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal 2 binary64)
(*.f64 r r)
r
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 w w) (.f64 #s(literal 3/8 binary64) (.f64 r r)) #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 r (.f64 (.f64 w (.f64 r w)) #s(literal -3/8 binary64)) #s(literal -3/2 binary64))))
(-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 w w) (.f64 #s(literal 3/8 binary64) (.f64 r r)) #s(literal 3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 r (.f64 (.f64 w (.f64 r w)) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal 2 binary64)
(*.f64 r r)
r
(fma.f64 (.f64 w w) (.f64 #s(literal 3/8 binary64) (*.f64 r r)) #s(literal 3/2 binary64))
(fma.f64 r (.f64 (.f64 w (*.f64 r w)) #s(literal 3/8 binary64)) #s(literal 3/2 binary64))
(*.f64 w w)
w
(.f64 #s(literal 3/8 binary64) (.f64 r r))
(.f64 r (.f64 r #s(literal 3/8 binary64)))
#s(literal 3/8 binary64)
#s(literal 3/2 binary64)
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 r (.f64 r (.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (.f64 r (.f64 w (.f64 r w))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (.f64 r r)))))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 r (.f64 r (.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)))
(+.f64 #s(literal -3/2 binary64) (fma.f64 (.f64 r (.f64 w (.f64 r w))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (.f64 r r))))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal 2 binary64)
(*.f64 r r)
r
(fma.f64 (.f64 r (.f64 r (*.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64))
(fma.f64 r (.f64 (.f64 w (*.f64 r w)) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64))) #s(literal -3/2 binary64))
(.f64 r (.f64 r (*.f64 w w)))
(.f64 r (.f64 w (*.f64 r w)))
(.f64 r (.f64 w w))
(.f64 w (.f64 r w))
(*.f64 w w)
w
(-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64))
(+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64))
(/.f64 #s(literal 1/8 binary64) v)
#s(literal 1/8 binary64)
v
#s(literal 1/4 binary64)
#s(literal -3/2 binary64)
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (.f64 (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 w (.f64 r w)))) (*.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v))))) #s(literal 9/2 binary64))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 r (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w)) (.f64 w (/.f64 r (+.f64 v #s(literal -1 binary64)))) #s(literal -3/2 binary64)))
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (.f64 (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 w (.f64 r w)))) (*.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v)))))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 r (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w)) (.f64 w (/.f64 r (+.f64 v #s(literal -1 binary64)))) #s(literal 3 binary64)))
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
#s(literal 3 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal 2 binary64)
(*.f64 r r)
r
(.f64 (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 w (.f64 r w)))) (.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v))))
(.f64 (.f64 r r) (/.f64 (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (.f64 w w)) (-.f64 #s(literal 1 binary64) v)))
(.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 w (.f64 r w))))
(.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (.f64 w (*.f64 r w)))
(fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))
v
#s(literal -2 binary64)
(.f64 #s(literal 1/8 binary64) (.f64 w (*.f64 r w)))
#s(literal 1/8 binary64)
(.f64 w (.f64 r w))
w
(*.f64 r w)
(*.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v)))
(/.f64 r (-.f64 #s(literal 1 binary64) v))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v))
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) v)
#s(literal 9/2 binary64)

localize321.0ms (2.1%)

Memory

-13.9MiB live, 258.4MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 w (.f64 r w))
✓	accuracy	99.2%	(/.f64 #s(literal 2 binary64) (*.f64 r r))
✓	accuracy	93.2%	(.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 w (.f64 r w))))
✓	accuracy	89.8%	(.f64 (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 w (.f64 r w)))) (.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v))))
✓	accuracy	99.2%	(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 r (.f64 r (.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)))
✓	accuracy	93.3%	(.f64 r (.f64 r (*.f64 w w)))
✓	accuracy	87.7%	(.f64 r (.f64 w w))
✓	accuracy	75.8%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 r (.f64 r (.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64))))
✓	accuracy	99.8%	(.f64 #s(literal 3/8 binary64) (.f64 r r))
✓	accuracy	99.2%	(/.f64 #s(literal 2 binary64) (*.f64 r r))
✓	accuracy	92.0%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 w w) (.f64 #s(literal 3/8 binary64) (.f64 r r)) #s(literal 3/2 binary64))))
✓	accuracy	80.6%	(fma.f64 (.f64 w w) (.f64 #s(literal 3/8 binary64) (*.f64 r r)) #s(literal 3/2 binary64))
✓	accuracy	100.0%	(*.f64 r r)
✓	accuracy	99.2%	(/.f64 #s(literal 2 binary64) (*.f64 r r))
✓	accuracy	42.5%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
✓	accuracy	99.9%	(fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (.f64 w (.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
✓	accuracy	99.8%	(.f64 w (.f64 r w))
✓	accuracy	99.2%	(/.f64 #s(literal 2 binary64) (*.f64 r r))
✓	accuracy	90.5%	(.f64 (.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))

Samples

110.0ms

256×

valid

Compiler

Compiled 488 to 57 computations (88.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-mult: 30.0ms (52% of total)

ival-div: 11.0ms (19.1% of total)

ival-sub: 9.0ms (15.6% of total)

ival-add: 6.0ms (10.4% of total)

exact: 1.0ms (1.7% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series63.0ms (0.4%)

Memory

25.0MiB live, 102.3MiB allocated

Counts

22 → 600

Calls

Call 1

Inputs
#s(alt (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (patch (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (.f64 w (.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) (patch (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (.f64 w (.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (patch (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 2 binary64) (.f64 r r)) (patch (/.f64 #s(literal 2 binary64) (.f64 r r)) #<representation binary64>) () ())
#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (.f64 r r))) (patch #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #<representation binary64>) () ())
#s(alt (.f64 r r) (patch (.f64 r r) #<representation binary64>) () ())
#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 w w) (.f64 #s(literal 3/8 binary64) (.f64 r r)) #s(literal 3/2 binary64)))) (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 w w) (.f64 #s(literal 3/8 binary64) (.f64 r r)) #s(literal 3/2 binary64)))) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 w w) (.f64 #s(literal 3/8 binary64) (.f64 r r)) #s(literal 3/2 binary64))) (patch (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 w w) (.f64 #s(literal 3/8 binary64) (.f64 r r)) #s(literal 3/2 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 r (.f64 r (.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)))) (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 r (.f64 r (.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)))) #<representation binary64>) () ())
#s(alt (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 r (.f64 r (.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64))) (patch (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 r (.f64 r (.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 w (.f64 r w)))) (patch (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 w (.f64 r w)))) #<representation binary64>) () ())
#s(alt (.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v))) (patch (.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v))) #<representation binary64>) () ())
#s(alt (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (.f64 (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 w (.f64 r w)))) (.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v))))) #s(literal 9/2 binary64)) (patch (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (.f64 (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 w (.f64 r w)))) (.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v))))) #s(literal 9/2 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (.f64 (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 w (.f64 r w)))) (.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v))))) (patch (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (.f64 (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 w (.f64 r w)))) (.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v))))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 w (.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) (patch (.f64 (.f64 w (.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #<representation binary64>) () ())
#s(alt (.f64 w (.f64 r w)) (patch (.f64 w (.f64 r w)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (.f64 w (.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) (patch (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (.f64 w (.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 w w) (.f64 #s(literal 3/8 binary64) (.f64 r r)) #s(literal 3/2 binary64)) (patch (fma.f64 (.f64 w w) (.f64 #s(literal 3/8 binary64) (.f64 r r)) #s(literal 3/2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 3/8 binary64) (.f64 r r)) (patch (.f64 #s(literal 3/8 binary64) (.f64 r r)) #<representation binary64>) () ())
#s(alt (.f64 r (.f64 w w)) (patch (.f64 r (.f64 w w)) #<representation binary64>) () ())
#s(alt (.f64 r (.f64 r (.f64 w w))) (patch (.f64 r (.f64 r (.f64 w w))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 w (.f64 r w)))) (.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v)))) (patch (.f64 (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 w (.f64 r w)))) (.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v)))) #<representation binary64>) () ())

Outputs
#s(alt 3/8 (taylor 0 v) (#s(alt (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (patch (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 3/8 (* -1/4 v)) (taylor 0 v) (#s(alt (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (patch (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 3/8 (* -1/4 v)) (taylor 0 v) (#s(alt (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (patch (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 3/8 (* -1/4 v)) (taylor 0 v) (#s(alt (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (patch (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 v) (taylor inf v) (#s(alt (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (patch (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* v (- (* 3/8 (/ 1 v)) 1/4)) (taylor inf v) (#s(alt (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (patch (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* v (- (* 3/8 (/ 1 v)) 1/4)) (taylor inf v) (#s(alt (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (patch (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* v (- (* 3/8 (/ 1 v)) 1/4)) (taylor inf v) (#s(alt (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (patch (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 v) (taylor -inf v) (#s(alt (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (patch (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* v (- 1/4 (* 3/8 (/ 1 v))))) (taylor -inf v) (#s(alt (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (patch (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* v (- 1/4 (* 3/8 (/ 1 v))))) (taylor -inf v) (#s(alt (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (patch (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* v (- 1/4 (* 3/8 (/ 1 v))))) (taylor -inf v) (#s(alt (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (patch (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow r 2)) (taylor 0 r) (#s(alt (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (.f64 w (.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) (patch (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (.f64 w (.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) (taylor 0 r) (#s(alt (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (.f64 w (.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) (patch (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (.f64 w (.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2)) (taylor 0 r) (#s(alt (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (.f64 w (.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) (patch (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (.f64 w (.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2)) (taylor 0 r) (#s(alt (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (.f64 w (.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) (patch (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (.f64 w (.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (taylor inf r) (#s(alt (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (.f64 w (.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) (patch (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (.f64 w (.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) (taylor inf r) (#s(alt (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (.f64 w (.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) (patch (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (.f64 w (.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) (taylor inf r) (#s(alt (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (.f64 w (.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) (patch (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (.f64 w (.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) (taylor inf r) (#s(alt (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (.f64 w (.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) (patch (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (.f64 w (.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (taylor -inf r) (#s(alt (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (.f64 w (.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) (patch (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (.f64 w (.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) (taylor -inf r) (#s(alt (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (.f64 w (.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) (patch (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (.f64 w (.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) (taylor -inf r) (#s(alt (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (.f64 w (.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) (patch (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (.f64 w (.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) (taylor -inf r) (#s(alt (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (.f64 w (.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) (patch (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (.f64 w (.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) (taylor 0 v) (#s(alt (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (.f64 w (.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) (patch (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (.f64 w (.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) (taylor 0 v) (#s(alt (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (.f64 w (.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) (patch (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (.f64 w (.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (taylor inf r) (#s(alt (.f64 (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 w (.f64 r w)))) (.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v)))) (patch (.f64 (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 w (.f64 r w)))) (.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v)))) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (taylor inf r) (#s(alt (.f64 (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 w (.f64 r w)))) (.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v)))) (patch (.f64 (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 w (.f64 r w)))) (.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v)))) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (taylor -inf r) (#s(alt (.f64 (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 w (.f64 r w)))) (.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v)))) (patch (.f64 (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 w (.f64 r w)))) (.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v)))) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (taylor -inf r) (#s(alt (.f64 (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 w (.f64 r w)))) (.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v)))) (patch (.f64 (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 w (.f64 r w)))) (.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v)))) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (taylor -inf r) (#s(alt (.f64 (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 w (.f64 r w)))) (.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v)))) (patch (.f64 (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 w (.f64 r w)))) (.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v)))) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (taylor -inf r) (#s(alt (.f64 (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 w (.f64 r w)))) (.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v)))) (patch (.f64 (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 w (.f64 r w)))) (.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v)))) #<representation binary64>) () ())) ())

Calls

150 calls:

Time	Variable		Point	Expression
5.0ms	v	@	inf	(+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2))
3.0ms	r	@	0	(- (/ 2 (* r r)) (+ (* (* w w) (* 3/8 (* r r))) 3/2))
1.0ms	r	@	0	(* (+ (* v -2) 3) (* 1/8 (* w (* r w))))
1.0ms	w	@	0	(- (+ 3 (/ 2 (* r r))) (+ (* (* 1/8 (+ (* v -2) 3)) (* (* w (* r w)) (/ r (- 1 v)))) 9/2))
1.0ms	v	@	0	(+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2))

simplify488.0ms (3.2%)

Memory

13.3MiB live, 673.0MiB allocated

Algorithm

1×	egg-herbie

Rules

16 820×	`lower-fma.f64`
16 820×	`lower-fma.f32`
5 830×	`lower-*.f64`
5 830×	`lower-*.f32`
3 970×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	400	11630
1	1298	10799
2	4298	10429
0	8745	9769

Stop Event

1×	iter limit
1×	node limit

Counts

600 → 599

Calls

Call 1

Inputs
3/8
(+ 3/8 (* -1/4 v))
(+ 3/8 (* -1/4 v))
(+ 3/8 (* -1/4 v))
(* -1/4 v)
(* v (- (* 3/8 (/ 1 v)) 1/4))
(* v (- (* 3/8 (/ 1 v)) 1/4))
(* v (- (* 3/8 (/ 1 v)) 1/4))
(* -1/4 v)
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))
(/ 2 (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(- (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))))
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2)))))))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (* 2 (/ 1 (pow r 2))) 3/2)
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(/ 2 (pow r 2))
(/ (+ 2 (* 3 (pow r 2))) (pow r 2))
(/ (+ 2 (* 3 (pow r 2))) (pow r 2))
(/ (+ 2 (* 3 (pow r 2))) (pow r 2))
3
(+ 3 (* 2 (/ 1 (pow r 2))))
(+ 3 (* 2 (/ 1 (pow r 2))))
(+ 3 (* 2 (/ 1 (pow r 2))))
3
(+ 3 (* 2 (/ 1 (pow r 2))))
(+ 3 (* 2 (/ 1 (pow r 2))))
(+ 3 (* 2 (/ 1 (pow r 2))))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(- (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))))
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2)))))))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (* 2 (/ 1 (pow r 2))) 3/2)
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(/ 2 (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(- (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))))
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2)))))))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (* 2 (/ 1 (pow r 2))) 3/2)
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)
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(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(/ 2 (pow r 2))
(/ (+ 2 (* 3 (pow r 2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))))) (pow r 2))
(/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))))) (pow r 2))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* (pow r 2) (- (* 3 (/ 1 (pow r 2))) (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v)))))
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v)))))
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v)))))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* (pow r 2) (- (* 3 (/ 1 (pow r 2))) (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v)))))
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v)))))
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v)))))
(- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 3/8 (* (pow r 2) (pow w 2))))
(- (+ 3 (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2))))) (* 3/8 (* (pow r 2) (pow w 2))))
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(- (+ 3 (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))) (* 3/8 (* (pow r 2) (pow w 2))))
(- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 1/4 (* (pow r 2) (pow w 2))))
(- (+ 3 (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2))))
(- (+ 3 (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2))))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ 3 (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2))))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2))))))
(- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 1/4 (* (pow r 2) (pow w 2))))
(- (+ 3 (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2))))
(- (+ 3 (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2))))
(- (+ 3 (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2))))
(+ 3 (* 2 (/ 1 (pow r 2))))
(+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))))
(+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))))
(+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v)))))
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v)))))
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v)))))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v)))))
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v)))))
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v)))))
(/ (* (pow r 2) (pow w 2)) (- 1 v))
(/ (* (pow r 2) (pow w 2)) (- 1 v))
(/ (* (pow r 2) (pow w 2)) (- 1 v))
(/ (* (pow r 2) (pow w 2)) (- 1 v))
(/ (* (pow r 2) (pow w 2)) (- 1 v))
(/ (* (pow r 2) (pow w 2)) (- 1 v))
(/ (* (pow r 2) (pow w 2)) (- 1 v))
(/ (* (pow r 2) (pow w 2)) (- 1 v))
(/ (* (pow r 2) (pow w 2)) (- 1 v))
(/ (* (pow r 2) (pow w 2)) (- 1 v))
(/ (* (pow r 2) (pow w 2)) (- 1 v))
(/ (* (pow r 2) (pow w 2)) (- 1 v))
(/ (* (pow r 2) (pow w 2)) (- 1 v))
(/ (* (pow r 2) (pow w 2)) (- 1 v))
(/ (* (pow r 2) (pow w 2)) (- 1 v))
(/ (* (pow r 2) (pow w 2)) (- 1 v))
(/ (* (pow r 2) (pow w 2)) (- 1 v))
(/ (* (pow r 2) (pow w 2)) (- 1 v))
(/ (* (pow r 2) (pow w 2)) (- 1 v))
(/ (* (pow r 2) (pow w 2)) (- 1 v))
(/ (* (pow r 2) (pow w 2)) (- 1 v))
(/ (* (pow r 2) (pow w 2)) (- 1 v))
(/ (* (pow r 2) (pow w 2)) (- 1 v))
(/ (* (pow r 2) (pow w 2)) (- 1 v))
(* (pow r 2) (pow w 2))
(+ (* (pow r 2) (* v (pow w 2))) (* (pow r 2) (pow w 2)))
(+ (* v (- (* (pow r 2) (* v (pow w 2))) (* -1 (* (pow r 2) (pow w 2))))) (* (pow r 2) (pow w 2)))
(+ (* v (- (* v (- (* (pow r 2) (* v (pow w 2))) (* -1 (* (pow r 2) (pow w 2))))) (* -1 (* (pow r 2) (pow w 2))))) (* (pow r 2) (pow w 2)))
(* -1 (/ (* (pow r 2) (pow w 2)) v))
(/ (+ (* -1 (* (pow r 2) (pow w 2))) (* -1 (/ (* (pow r 2) (pow w 2)) v))) v)
(/ (- (+ (* -1 (* (pow r 2) (pow w 2))) (* -1 (/ (* (pow r 2) (pow w 2)) (pow v 2)))) (/ (* (pow r 2) (pow w 2)) v)) v)
(/ (- (+ (* -1 (* (pow r 2) (pow w 2))) (* -1 (/ (* (pow r 2) (pow w 2)) (pow v 3)))) (+ (/ (* (pow r 2) (pow w 2)) v) (/ (* (pow r 2) (pow w 2)) (pow v 2)))) v)
(* -1 (/ (* (pow r 2) (pow w 2)) v))
(* -1 (/ (+ (* (pow r 2) (pow w 2)) (/ (* (pow r 2) (pow w 2)) v)) v))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow r 2) (pow w 2)) v)) (* (pow r 2) (pow w 2))) v)) (* (pow r 2) (pow w 2))) v))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow r 2) (pow w 2)) v) (* -1 (* (pow r 2) (pow w 2)))) v)) (* (pow r 2) (pow w 2))) v)) (* (pow r 2) (pow w 2))) v))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(+ 9/2 (* 3/8 (* (pow r 2) (pow w 2))))
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(+ 9/2 (+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))))
(+ 9/2 (+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))))))
(+ 9/2 (* 1/4 (* (pow r 2) (pow w 2))))
(+ 9/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))
(+ 9/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2))))))
(+ 9/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 1/4 (* (pow r 2) (pow w 2)))))))
(+ 9/2 (* 1/4 (* (pow r 2) (pow w 2))))
(+ 9/2 (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))
(+ 9/2 (+ (* -1 (/ (+ (* -1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))
(+ 9/2 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))
9/2
(+ 9/2 (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))))
(+ 9/2 (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))))
(+ 9/2 (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow w 2)))))
(* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow w 2)))))
(* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow w 2)))))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow w 2)))))
(* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow w 2)))))
(* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow w 2)))))
9/2
(+ 9/2 (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))))
(+ 9/2 (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))))
(+ 9/2 (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow r 2)))))
(* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow r 2)))))
(* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow r 2)))))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow r 2)))))
(* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow r 2)))))
(* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow r 2)))))
3/2
(+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))
(+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))
(+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))
(* 3/8 (* (pow r 2) (pow w 2)))
(* (pow w 2) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))
(* 3/8 (* (pow r 2) (pow w 2)))
(* (pow w 2) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))
3/2
(+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))
(+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))
(+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))
(* 3/8 (* (pow r 2) (pow w 2)))
(* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(* 3/8 (* (pow r 2) (pow w 2)))
(* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(* 3/8 (pow r 2))
(* 3/8 (pow r 2))
(* 3/8 (pow r 2))
(* 3/8 (pow r 2))
(* 3/8 (pow r 2))
(* 3/8 (pow r 2))
(* 3/8 (pow r 2))
(* 3/8 (pow r 2))
(* 3/8 (pow r 2))
(* 3/8 (pow r 2))
(* 3/8 (pow r 2))
(* 3/8 (pow r 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* r (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* (pow r 2) (pow w 2))
(* 3/8 (* (pow r 2) (pow w 2)))
(+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 3/8 (* (pow r 2) (pow w 2))))
(+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))
(+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))))
(* 1/4 (* (pow r 2) (pow w 2)))
(+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))
(+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2)))))
(+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 1/4 (* (pow r 2) (pow w 2))))))
(* 1/4 (* (pow r 2) (pow w 2)))
(+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))
(+ (* -1 (/ (+ (* -1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2))))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))

Outputs
3/8
#s(literal 3/8 binary64)
(+ 3/8 (* -1/4 v))
(fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))
(+ 3/8 (* -1/4 v))
(fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))
(+ 3/8 (* -1/4 v))
(fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))
(* -1/4 v)
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(* r (pow w 2))
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(* r (pow w 2))
(.f64 r (.f64 w w))
(* r (pow w 2))
(.f64 r (.f64 w w))
(* r (pow w 2))
(.f64 r (.f64 w w))
(* r (pow w 2))
(.f64 r (.f64 w w))
(* (pow r 2) (pow w 2))
(.f64 r (.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(.f64 r (.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(.f64 r (.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(.f64 r (.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(.f64 r (.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(.f64 r (.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(.f64 r (.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(.f64 r (.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(.f64 r (.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(.f64 r (.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(.f64 r (.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(.f64 r (.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(.f64 r (.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(.f64 r (.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(.f64 r (.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(.f64 r (.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(.f64 r (.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(.f64 r (.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(.f64 r (.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(.f64 r (.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(.f64 r (.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(.f64 r (.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(.f64 r (.f64 r (*.f64 w w)))
(* (pow r 2) (pow w 2))
(.f64 r (.f64 r (*.f64 w w)))
(* 3/8 (* (pow r 2) (pow w 2)))
(.f64 r (.f64 #s(literal 3/8 binary64) (.f64 r (.f64 w w))))
(+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 3/8 (* (pow r 2) (pow w 2))))
(fma.f64 r (.f64 #s(literal 3/8 binary64) (.f64 r (.f64 w w))) (.f64 (.f64 r (.f64 r (.f64 w w))) (.f64 v #s(literal 1/8 binary64))))
(+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))
(fma.f64 #s(literal 3/8 binary64) (.f64 r (.f64 r (.f64 w w))) (.f64 v (.f64 (.f64 r (.f64 r (.f64 w w))) (fma.f64 v #s(literal 1/8 binary64) #s(literal 1/8 binary64)))))
(+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))))
(fma.f64 v (fma.f64 v (.f64 (.f64 r (.f64 r (.f64 w w))) (fma.f64 v #s(literal 1/8 binary64) #s(literal 1/8 binary64))) (.f64 (.f64 w w) (.f64 (.f64 r r) #s(literal 1/8 binary64)))) (.f64 r (.f64 #s(literal 3/8 binary64) (.f64 r (.f64 w w)))))
(* 1/4 (* (pow r 2) (pow w 2)))
(.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal 1/4 binary64)))
(+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))
(fma.f64 #s(literal 1/4 binary64) (.f64 r (.f64 r (.f64 w w))) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 r (.f64 r (*.f64 w w)))) v))
(+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2)))))
(fma.f64 #s(literal 1/4 binary64) (.f64 r (.f64 r (.f64 w w))) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 r r) (fma.f64 w w (/.f64 (*.f64 w w) v)))) v))
(+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 1/4 (* (pow r 2) (pow w 2))))))
(fma.f64 #s(literal -1/8 binary64) (.f64 r (/.f64 (.f64 r (.f64 w w)) v)) (fma.f64 #s(literal 1/4 binary64) (.f64 r (.f64 r (.f64 w w))) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 r r) (fma.f64 w w (/.f64 (.f64 w w) v)))) (*.f64 v v))))
(* 1/4 (* (pow r 2) (pow w 2)))
(.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal 1/4 binary64)))
(+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))
(fma.f64 #s(literal 1/4 binary64) (.f64 r (.f64 r (.f64 w w))) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 r (.f64 r (*.f64 w w)))) v))
(+ (* -1 (/ (+ (* -1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2))))
(fma.f64 #s(literal 1/4 binary64) (.f64 r (.f64 r (.f64 w w))) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 r r) (fma.f64 w w (/.f64 (*.f64 w w) v)))) v))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2))))
(fma.f64 #s(literal 1/4 binary64) (.f64 r (.f64 r (.f64 w w))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 r (.f64 r (.f64 w w))) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 r r) (fma.f64 w w (/.f64 (.f64 w w) v)))) v)) v))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(/.f64 (.f64 (.f64 (.f64 w w) (.f64 (*.f64 r r) #s(literal 1/8 binary64))) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(/.f64 (.f64 (.f64 (.f64 w w) (.f64 (*.f64 r r) #s(literal 1/8 binary64))) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(/.f64 (.f64 (.f64 (.f64 w w) (.f64 (*.f64 r r) #s(literal 1/8 binary64))) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(/.f64 (.f64 (.f64 (.f64 w w) (.f64 (*.f64 r r) #s(literal 1/8 binary64))) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(/.f64 (.f64 (.f64 (.f64 w w) (.f64 (*.f64 r r) #s(literal 1/8 binary64))) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(/.f64 (.f64 (.f64 (.f64 w w) (.f64 (*.f64 r r) #s(literal 1/8 binary64))) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(/.f64 (.f64 (.f64 (.f64 w w) (.f64 (*.f64 r r) #s(literal 1/8 binary64))) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(/.f64 (.f64 (.f64 (.f64 w w) (.f64 (*.f64 r r) #s(literal 1/8 binary64))) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(/.f64 (.f64 (.f64 (.f64 w w) (.f64 (*.f64 r r) #s(literal 1/8 binary64))) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(/.f64 (.f64 (.f64 (.f64 w w) (.f64 (*.f64 r r) #s(literal 1/8 binary64))) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(/.f64 (.f64 (.f64 (.f64 w w) (.f64 (*.f64 r r) #s(literal 1/8 binary64))) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(/.f64 (.f64 (.f64 (.f64 w w) (.f64 (*.f64 r r) #s(literal 1/8 binary64))) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(/.f64 (.f64 (.f64 (.f64 w w) (.f64 (*.f64 r r) #s(literal 1/8 binary64))) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(/.f64 (.f64 (.f64 (.f64 w w) (.f64 (*.f64 r r) #s(literal 1/8 binary64))) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(/.f64 (.f64 (.f64 (.f64 w w) (.f64 (*.f64 r r) #s(literal 1/8 binary64))) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(/.f64 (.f64 (.f64 (.f64 w w) (.f64 (*.f64 r r) #s(literal 1/8 binary64))) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(/.f64 (.f64 (.f64 (.f64 w w) (.f64 (*.f64 r r) #s(literal 1/8 binary64))) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(/.f64 (.f64 (.f64 (.f64 w w) (.f64 (*.f64 r r) #s(literal 1/8 binary64))) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(/.f64 (.f64 (.f64 (.f64 w w) (.f64 (*.f64 r r) #s(literal 1/8 binary64))) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(/.f64 (.f64 (.f64 (.f64 w w) (.f64 (*.f64 r r) #s(literal 1/8 binary64))) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(/.f64 (.f64 (.f64 (.f64 w w) (.f64 (*.f64 r r) #s(literal 1/8 binary64))) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(/.f64 (.f64 (.f64 (.f64 w w) (.f64 (*.f64 r r) #s(literal 1/8 binary64))) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(/.f64 (.f64 (.f64 (.f64 w w) (.f64 (*.f64 r r) #s(literal 1/8 binary64))) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v))
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(/.f64 (.f64 (.f64 (.f64 w w) (.f64 (*.f64 r r) #s(literal 1/8 binary64))) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v))

rewrite553.0ms (3.6%)

Memory

-4.0MiB live, 670.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 220×	`lower-*.f32`
4 194×	`lower-*.f64`
4 002×	`lower-/.f32`
3 994×	`lower-/.f64`
3 616×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	374
0	92	359
1	434	322
2	3524	322
0	8751	300

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

22 → 736

Calls

Call 1

Inputs
(*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)))
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(*.f64 r r)
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 w w) (.f64 #s(literal 3/8 binary64) (.f64 r r)) #s(literal 3/2 binary64))))
(-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 w w) (.f64 #s(literal 3/8 binary64) (.f64 r r)) #s(literal 3/2 binary64)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 r (.f64 r (.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64))))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 r (.f64 r (.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)))
(.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 w (.f64 r w))))
(*.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v)))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (.f64 (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 w (.f64 r w)))) (*.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v))))) #s(literal 9/2 binary64))
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (.f64 (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 w (.f64 r w)))) (*.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v)))))
(.f64 (.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))
(.f64 w (.f64 r w))
(fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (.f64 w (.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
(fma.f64 (.f64 w w) (.f64 #s(literal 3/8 binary64) (*.f64 r r)) #s(literal 3/2 binary64))
(.f64 #s(literal 3/8 binary64) (.f64 r r))
(.f64 r (.f64 w w))
(.f64 r (.f64 r (*.f64 w w)))
(.f64 (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 w (.f64 r w)))) (.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v))))

Outputs
(+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64)))
(+.f64 (*.f64 v #s(literal -1/4 binary64)) #s(literal 3/8 binary64))
(fma.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)) #s(literal 3/8 binary64))
(fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))
(fma.f64 #s(literal -2 binary64) (*.f64 v #s(literal 1/8 binary64)) #s(literal 3/8 binary64))
(fma.f64 (*.f64 v #s(literal -2 binary64)) #s(literal 1/8 binary64) #s(literal 3/8 binary64))
(fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))
(fma.f64 (*.f64 #s(literal 1/8 binary64) v) #s(literal -2 binary64) #s(literal 3/8 binary64))
(/.f64 (fma.f64 (.f64 v (.f64 v v)) #s(literal -1/64 binary64) #s(literal 27/512 binary64)) (fma.f64 (.f64 v #s(literal -1/4 binary64)) (.f64 v #s(literal -1/4 binary64)) (-.f64 #s(literal 9/64 binary64) (.f64 (.f64 v #s(literal -1/4 binary64)) #s(literal 3/8 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 v #s(literal -1/4 binary64)) (.f64 v #s(literal -1/4 binary64))) #s(literal 9/64 binary64)) (-.f64 (.f64 v #s(literal -1/4 binary64)) #s(literal 3/8 binary64)))
(/.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 (.f64 v (.f64 v v)) #s(literal 8 binary64) #s(literal 27 binary64))) (-.f64 (fma.f64 (.f64 v v) #s(literal 4 binary64) #s(literal 9 binary64)) (*.f64 v #s(literal -6 binary64))))
(/.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 (.f64 v (.f64 v v)) #s(literal 8 binary64) #s(literal 27 binary64))) (fma.f64 (.f64 v #s(literal 2 binary64)) (fma.f64 v #s(literal 2 binary64) #s(literal 3 binary64)) #s(literal 9 binary64)))
(/.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 (.f64 v v) #s(literal 4 binary64) #s(literal -9 binary64))) (fma.f64 v #s(literal -2 binary64) #s(literal -3 binary64)))
(/.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 9 binary64) (.f64 (*.f64 v v) #s(literal 4 binary64)))) (fma.f64 v #s(literal 2 binary64) #s(literal 3 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 v (.f64 v v)) #s(literal 8 binary64) #s(literal 27 binary64)) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (.f64 v v) #s(literal 4 binary64) #s(literal 9 binary64)) (*.f64 v #s(literal -6 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 v (.f64 v v)) #s(literal 8 binary64) #s(literal 27 binary64)) #s(literal 1/8 binary64)) (fma.f64 (.f64 v #s(literal 2 binary64)) (fma.f64 v #s(literal 2 binary64) #s(literal 3 binary64)) #s(literal 9 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 v v) #s(literal 4 binary64) #s(literal -9 binary64)) #s(literal 1/8 binary64)) (fma.f64 v #s(literal -2 binary64) #s(literal -3 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 9 binary64) (.f64 (*.f64 v v) #s(literal 4 binary64))) #s(literal 1/8 binary64)) (fma.f64 v #s(literal 2 binary64) #s(literal 3 binary64)))
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(.f64 (.f64 r (.f64 w (.f64 r w))) (/.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)))
(.f64 (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (.f64 r (.f64 w (*.f64 r w)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v)))
(.f64 (.f64 #s(literal 1/8 binary64) (.f64 w (.f64 r w))) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (/.f64 r (-.f64 #s(literal 1 binary64) v))))
(.f64 (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (.f64 w (.f64 r w))) (/.f64 r (-.f64 #s(literal 1 binary64) v)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v)) (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (.f64 r (.f64 w (*.f64 r w)))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v)) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (.f64 r (.f64 w (*.f64 r w))))) #s(literal -1 binary64)))
(.f64 (.f64 (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (.f64 w (*.f64 r w))) (neg.f64 r)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) v)))
(.f64 (.f64 (.f64 w (.f64 r w)) (*.f64 #s(literal 1/8 binary64) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))
(.f64 (/.f64 (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 r (.f64 w (*.f64 r w)))) (-.f64 #s(literal 1 binary64) v)) #s(literal 1/8 binary64))
(.f64 (.f64 (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (.f64 r (.f64 w (.f64 r w)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v)))
(.f64 (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w) (/.f64 (.f64 (.f64 r w) r) (-.f64 #s(literal 1 binary64) v)))
(.f64 (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) (.f64 w (.f64 r w)))
(.f64 (.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 #s(literal 1/8 binary64) (.f64 w (*.f64 r w))))
(.f64 (.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) (.f64 w (.f64 r w)))
(.f64 (.f64 (/.f64 (.f64 r (.f64 w (*.f64 r w))) (-.f64 #s(literal 1 binary64) v)) #s(literal 1/8 binary64)) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))
(.f64 (.f64 (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (.f64 w (*.f64 r w))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v))) r)
(.f64 (/.f64 (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (.f64 r (.f64 w (.f64 r w)))) (-.f64 #s(literal 1 binary64) (.f64 v (*.f64 v v)))) (+.f64 #s(literal 1 binary64) (fma.f64 v v v)))
(.f64 (/.f64 (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (.f64 r (.f64 w (.f64 r w)))) (-.f64 #s(literal 1 binary64) (.f64 v v))) (+.f64 v #s(literal 1 binary64)))

eval344.0ms (2.2%)

Memory: -5.6MiB live, 347.2MiB allocated
Compiler: Compiled 62 892 to 2 709 computations (95.7% saved)

prune229.0ms (1.5%)

Memory

-1.6MiB live, 502.6MiB allocated

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	1 633	17	1 650
Fresh	14	2	16
Picked	4	1	5
Done	0	0	0
Total	1 651	20	1 671

Accuracy

100.0%

Counts

1 671 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	55.6%	(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (.f64 (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 w (.f64 r w)))) (.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v))))) #s(literal 9/2 binary64))
	93.0%	(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w) (/.f64 (.f64 (.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)))
▶	97.6%	(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (/.f64 (.f64 (*.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) w) #s(literal 9/2 binary64)))
	45.5%	(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64))
	56.3%	(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (.f64 w (.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)))
	81.5%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -1/4 binary64) (.f64 r (.f64 r (.f64 w w))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r)))))
▶	42.5%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r))
	32.7%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) (-.f64 (fma.f64 #s(literal 9/64 binary64) (.f64 (.f64 r (.f64 w (.f64 r w))) (.f64 r (.f64 w (.f64 r w)))) #s(literal 9/4 binary64)) (.f64 w (.f64 (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) #s(literal 3/2 binary64))))) (.f64 (.f64 r r) (fma.f64 (.f64 (.f64 w w) (.f64 (.f64 w w) (.f64 w w))) (.f64 (.f64 (.f64 r r) (.f64 (.f64 r r) (.f64 r r))) #s(literal 27/512 binary64)) #s(literal 27/8 binary64)))) (.f64 (.f64 r r) (-.f64 (fma.f64 #s(literal 9/64 binary64) (.f64 (.f64 r (.f64 w (.f64 r w))) (.f64 r (.f64 w (.f64 r w)))) #s(literal 9/4 binary64)) (.f64 w (.f64 (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) #s(literal 3/2 binary64)))))))
✓	42.5%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
▶	83.9%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) w #s(literal 3/2 binary64))))
	75.7%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 w w) (.f64 (.f64 r #s(literal 3/8 binary64)) r) #s(literal 3/2 binary64))))
	89.0%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 r (.f64 w (.f64 r w))) #s(literal 3/8 binary64) #s(literal 3/2 binary64))))
	89.0%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 r #s(literal 3/8 binary64)) (.f64 w (.f64 r w)) #s(literal 3/2 binary64))))
	68.2%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w w) (* 3/8 (* r r))) 3/2) (.f64 r (.f64 #s(literal 3/8 binary64) (.f64 r (.f64 w w)))))))
▶	56.8%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w w) (* 3/8 (* r r))) 3/2) #s(literal 3/2 binary64))))
▶	83.2%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (.f64 r r)))))
	40.3%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w w) (* 3/8 (* r r))) 3/2)) (fma.f64 (.f64 r r) (.f64 (*.f64 w w) #s(literal -3/8 binary64)) #s(literal -3/2 binary64))))
	31.0%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w w) (* 3/8 (* r r))) 3/2)) (.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal -3/8 binary64)))))
	31.3%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (fma.f64 (.f64 r r) (.f64 w (*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))) #s(literal -3/2 binary64))))
	24.2%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (.f64 (.f64 r r) (.f64 w (.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))))))

Compiler

Compiled 911 to 526 computations (42.3% saved)

simplify512.0ms (3.3%)

Memory

12.1MiB live, 756.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 r r)
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) (*.f64 r r))
✓	cost-diff	0	(-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) w #s(literal 3/2 binary64)))
✓	cost-diff	0	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) w #s(literal 3/2 binary64))))
✓	cost-diff	0	(.f64 (.f64 #s(literal -1/4 binary64) (*.f64 r r)) w)
✓	cost-diff	0	(fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (.f64 r r)))
✓	cost-diff	0	(+.f64 #s(literal -3/2 binary64) (fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (.f64 r r))))
✓	cost-diff	0	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (.f64 r r)))))
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) r)
✓	cost-diff	0	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r))
✓	cost-diff	384	(/.f64 (/.f64 #s(literal 2 binary64) r) r)
✓	cost-diff	0	(*.f64 r r)
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) (*.f64 r r))
✓	cost-diff	0	(-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w w) (* 3/8 (* r r))) 3/2) #s(literal 3/2 binary64)))
✓	cost-diff	0	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w w) (* 3/8 (* r r))) 3/2) #s(literal 3/2 binary64))))
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) (*.f64 r r))
✓	cost-diff	0	(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
✓	cost-diff	192	(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (/.f64 (.f64 (*.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) w) #s(literal 9/2 binary64)))
✓	cost-diff	320	(*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))

Rules

22 514×	`lower-fma.f32`
22 506×	`lower-fma.f64`
6 538×	`lower-*.f32`
6 520×	`lower-*.f64`
1 724×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	446
0	86	439
1	190	428
2	479	423
3	1706	423
4	5189	423
0	8192	411

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (/.f64 (.f64 (*.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) w) #s(literal 9/2 binary64)))
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
#s(literal 3 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal 2 binary64)
(*.f64 r r)
r
(fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (/.f64 (.f64 (.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) w) #s(literal 9/2 binary64))
(*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))
#s(literal 1/8 binary64)
(fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))
v
#s(literal -2 binary64)
(.f64 (/.f64 (.f64 (*.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) w)
(/.f64 (.f64 (.f64 r w) r) (-.f64 #s(literal 1 binary64) v))
(.f64 (.f64 r w) r)
(*.f64 r w)
w
(-.f64 #s(literal 1 binary64) v)
#s(literal 1 binary64)
#s(literal 9/2 binary64)
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w w) (* 3/8 (* r r))) 3/2) #s(literal 3/2 binary64))))
(-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w w) (* 3/8 (* r r))) 3/2) #s(literal 3/2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal 2 binary64)
(*.f64 r r)
r
#s(approx (+ (* (* w w) (* 3/8 (* r r))) 3/2) #s(literal 3/2 binary64))
#s(literal 3/2 binary64)
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r))
(/.f64 (/.f64 #s(literal 2 binary64) r) r)
(/.f64 #s(literal 2 binary64) r)
#s(literal 2 binary64)
r
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (.f64 r r)))))
(+.f64 #s(literal -3/2 binary64) (fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (.f64 r r))))
#s(literal -3/2 binary64)
(fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (.f64 r r)))
(.f64 (.f64 #s(literal -1/4 binary64) (*.f64 r r)) w)
(.f64 #s(literal -1/4 binary64) (.f64 r r))
#s(literal -1/4 binary64)
(*.f64 r r)
r
w
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal 2 binary64)
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) w #s(literal 3/2 binary64))))
(-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) w #s(literal 3/2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal 2 binary64)
(*.f64 r r)
r
(fma.f64 (.f64 w (.f64 (*.f64 r r) #s(literal 3/8 binary64))) w #s(literal 3/2 binary64))
(.f64 w (.f64 (*.f64 r r) #s(literal 3/8 binary64)))
w
(.f64 (.f64 r r) #s(literal 3/8 binary64))
#s(literal 3/8 binary64)
#s(literal 3/2 binary64)

Outputs
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (/.f64 (.f64 (*.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) w) #s(literal 9/2 binary64)))
(-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 r r) (/.f64 (.f64 w (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w)) (-.f64 #s(literal 1 binary64) v)) #s(literal 3/2 binary64)))
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
#s(literal 3 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal 2 binary64)
(*.f64 r r)
r
(fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (/.f64 (.f64 (.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) w) #s(literal 9/2 binary64))
(fma.f64 (.f64 r r) (/.f64 (.f64 w (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w)) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))
(*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))
(fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))
#s(literal 1/8 binary64)
(fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))
v
#s(literal -2 binary64)
(.f64 (/.f64 (.f64 (*.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) w)
(/.f64 (.f64 r (.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v))
(/.f64 (.f64 (.f64 r w) r) (-.f64 #s(literal 1 binary64) v))
(/.f64 (.f64 r (.f64 r w)) (-.f64 #s(literal 1 binary64) v))
(.f64 (.f64 r w) r)
(.f64 r (.f64 r w))
(*.f64 r w)
w
(-.f64 #s(literal 1 binary64) v)
#s(literal 1 binary64)
#s(literal 9/2 binary64)
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w w) (* 3/8 (* r r))) 3/2) #s(literal 3/2 binary64))))
(-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w w) (* 3/8 (* r r))) 3/2) #s(literal 3/2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal 2 binary64)
(*.f64 r r)
r
#s(approx (+ (* (* w w) (* 3/8 (* r r))) 3/2) #s(literal 3/2 binary64))
#s(literal 3/2 binary64)
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(/.f64 (/.f64 #s(literal 2 binary64) r) r)
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/.f64 #s(literal 2 binary64) r)
#s(literal 2 binary64)
r
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (.f64 r r)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 w (.f64 (.f64 r (.f64 r w)) #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (.f64 r r)))))
(+.f64 #s(literal -3/2 binary64) (fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (.f64 r r))))
(+.f64 #s(literal -3/2 binary64) (fma.f64 w (.f64 (.f64 r (.f64 r w)) #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (.f64 r r))))
#s(literal -3/2 binary64)
(fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (.f64 r r)))
(fma.f64 w (.f64 (.f64 r (.f64 r w)) #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (.f64 r r)))
(.f64 (.f64 #s(literal -1/4 binary64) (*.f64 r r)) w)
(.f64 (.f64 r (*.f64 r w)) #s(literal -1/4 binary64))
(.f64 #s(literal -1/4 binary64) (.f64 r r))
(.f64 r (.f64 r #s(literal -1/4 binary64)))
#s(literal -1/4 binary64)
(*.f64 r r)
r
w
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal 2 binary64)
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) w #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 r (.f64 (.f64 r (.f64 w w)) #s(literal -3/8 binary64)) #s(literal -3/2 binary64))))
(-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) w #s(literal 3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 r (.f64 (.f64 r (.f64 w w)) #s(literal -3/8 binary64)) #s(literal -3/2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal 2 binary64)
(*.f64 r r)
r
(fma.f64 (.f64 w (.f64 (*.f64 r r) #s(literal 3/8 binary64))) w #s(literal 3/2 binary64))
(fma.f64 r (.f64 r (.f64 (*.f64 w w) #s(literal 3/8 binary64))) #s(literal 3/2 binary64))
(.f64 w (.f64 (*.f64 r r) #s(literal 3/8 binary64)))
w
(.f64 (.f64 r r) #s(literal 3/8 binary64))
#s(literal 3/8 binary64)
#s(literal 3/2 binary64)

localize165.0ms (1.1%)

Memory

18.5MiB live, 360.4MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.2%	(/.f64 #s(literal 2 binary64) (*.f64 r r))
✓	accuracy	97.7%	(fma.f64 (.f64 w (.f64 (*.f64 r r) #s(literal 3/8 binary64))) w #s(literal 3/2 binary64))
✓	accuracy	92.0%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) w #s(literal 3/2 binary64))))
✓	accuracy	85.2%	(.f64 w (.f64 (*.f64 r r) #s(literal 3/8 binary64)))
✓	accuracy	99.2%	(/.f64 #s(literal 2 binary64) (*.f64 r r))
✓	accuracy	97.6%	(fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (.f64 r r)))
✓	accuracy	90.4%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (.f64 r r)))))
✓	accuracy	85.2%	(.f64 (.f64 #s(literal -1/4 binary64) (*.f64 r r)) w)
✓	accuracy	100.0%	(/.f64 #s(literal 2 binary64) r)
✓	accuracy	99.8%	(/.f64 (/.f64 #s(literal 2 binary64) r) r)
✓	accuracy	42.5%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r))
✓	accuracy	100.0%	(-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w w) (* 3/8 (* r r))) 3/2) #s(literal 3/2 binary64)))
✓	accuracy	99.2%	(/.f64 #s(literal 2 binary64) (*.f64 r r))
✓	accuracy	92.0%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w w) (* 3/8 (* r r))) 3/2) #s(literal 3/2 binary64))))
✓	accuracy	51.3%	#s(approx (+ (* (* w w) (* 3/8 (* r r))) 3/2) #s(literal 3/2 binary64))
✓	accuracy	99.8%	(.f64 (.f64 r w) r)
✓	accuracy	99.2%	(/.f64 #s(literal 2 binary64) (*.f64 r r))
✓	accuracy	95.9%	(/.f64 (.f64 (.f64 r w) r) (-.f64 #s(literal 1 binary64) v))
✓	accuracy	94.9%	(.f64 (/.f64 (.f64 (*.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) w)

Samples

79.0ms

256×

valid

Compiler

Compiled 394 to 55 computations (86% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-mult: 31.0ms (56.6% of total)

ival-div: 8.0ms (14.6% of total)

ival-add: 8.0ms (14.6% of total)

ival-sub: 7.0ms (12.8% of total)

exact: 1.0ms (1.8% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series53.0ms (0.3%)

Memory

19.1MiB live, 123.5MiB allocated

Counts

22 → 540

Calls

Call 1

Inputs
#s(alt (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (patch (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (/.f64 (.f64 (.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) w) #s(literal 9/2 binary64))) (patch (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (/.f64 (.f64 (.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) w) #s(literal 9/2 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (patch (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 2 binary64) (.f64 r r)) (patch (/.f64 #s(literal 2 binary64) (.f64 r r)) #<representation binary64>) () ())
#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w w) (* 3/8 (* r r))) 3/2) #s(literal 3/2 binary64)))) (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w w) (* 3/8 (* r r))) 3/2) #s(literal 3/2 binary64)))) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w w) (* 3/8 (* r r))) 3/2) #s(literal 3/2 binary64))) (patch (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w w) (* 3/8 (* r r))) 3/2) #s(literal 3/2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 r r) (patch (.f64 r r) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 #s(literal 2 binary64) r) r) (patch (/.f64 (/.f64 #s(literal 2 binary64) r) r) #<representation binary64>) () ())
#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r)) (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 2 binary64) r) (patch (/.f64 #s(literal 2 binary64) r) #<representation binary64>) () ())
#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (.f64 r r))))) (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (.f64 r r))))) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal -3/2 binary64) (fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (.f64 r r)))) (patch (+.f64 #s(literal -3/2 binary64) (fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (.f64 r r)))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (.f64 r r))) (patch (fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (.f64 r r))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) (patch (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) #<representation binary64>) () ())
#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) w #s(literal 3/2 binary64)))) (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) w #s(literal 3/2 binary64)))) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) w #s(literal 3/2 binary64))) (patch (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) w #s(literal 3/2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 (.f64 (.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) w) (patch (.f64 (/.f64 (.f64 (.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) w) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (.f64 (.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 r w) r) (patch (.f64 (.f64 r w) r) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* w w) (* 3/8 (* r r))) 3/2) #s(literal 3/2 binary64)) (patch #s(approx (+ (* (* w w) (* 3/8 (* r r))) 3/2) #s(literal 3/2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) (patch (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) w #s(literal 3/2 binary64)) (patch (fma.f64 (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) w #s(literal 3/2 binary64)) #<representation binary64>) () ())

Outputs
#s(alt 3/8 (taylor 0 v) (#s(alt (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (patch (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 3/8 (* -1/4 v)) (taylor 0 v) (#s(alt (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (patch (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 3/8 (* -1/4 v)) (taylor 0 v) (#s(alt (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (patch (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 3/8 (* -1/4 v)) (taylor 0 v) (#s(alt (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (patch (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 v) (taylor inf v) (#s(alt (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (patch (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* v (- (* 3/8 (/ 1 v)) 1/4)) (taylor inf v) (#s(alt (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (patch (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* v (- (* 3/8 (/ 1 v)) 1/4)) (taylor inf v) (#s(alt (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (patch (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* v (- (* 3/8 (/ 1 v)) 1/4)) (taylor inf v) (#s(alt (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (patch (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 v) (taylor -inf v) (#s(alt (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (patch (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* v (- 1/4 (* 3/8 (/ 1 v))))) (taylor -inf v) (#s(alt (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (patch (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* v (- 1/4 (* 3/8 (/ 1 v))))) (taylor -inf v) (#s(alt (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (patch (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* v (- 1/4 (* 3/8 (/ 1 v))))) (taylor -inf v) (#s(alt (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (patch (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow r 2)) (taylor 0 r) (#s(alt (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (/.f64 (.f64 (.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) w) #s(literal 9/2 binary64))) (patch (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (/.f64 (.f64 (.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) w) #s(literal 9/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) (taylor 0 r) (#s(alt (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (/.f64 (.f64 (.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) w) #s(literal 9/2 binary64))) (patch (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (/.f64 (.f64 (.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) w) #s(literal 9/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2)) (taylor 0 r) (#s(alt (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (/.f64 (.f64 (.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) w) #s(literal 9/2 binary64))) (patch (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (/.f64 (.f64 (.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) w) #s(literal 9/2 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* (pow w 2) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) (taylor -inf w) (#s(alt #s(approx (+ (* (* w w) (* 3/8 (* r r))) 3/2) #s(literal 3/2 binary64)) (patch #s(approx (+ (* (* w w) (* 3/8 (* r r))) 3/2) #s(literal 3/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow w 2) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) (taylor -inf w) (#s(alt #s(approx (+ (* (* w w) (* 3/8 (* r r))) 3/2) #s(literal 3/2 binary64)) (patch #s(approx (+ (* (* w w) (* 3/8 (* r r))) 3/2) #s(literal 3/2 binary64)) #<representation binary64>) () ())) ())
#s(alt 3/2 (taylor 0 r) (#s(alt #s(approx (+ (* (* w w) (* 3/8 (* r r))) 3/2) #s(literal 3/2 binary64)) (patch #s(approx (+ (* (* w w) (* 3/8 (* r r))) 3/2) #s(literal 3/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))) (taylor 0 r) (#s(alt #s(approx (+ (* (* w w) (* 3/8 (* r r))) 3/2) #s(literal 3/2 binary64)) (patch #s(approx (+ (* (* w w) (* 3/8 (* r r))) 3/2) #s(literal 3/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))) (taylor 0 r) (#s(alt #s(approx (+ (* (* w w) (* 3/8 (* r r))) 3/2) #s(literal 3/2 binary64)) (patch #s(approx (+ (* (* w w) (* 3/8 (* r r))) 3/2) #s(literal 3/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))) (taylor 0 r) (#s(alt #s(approx (+ (* (* w w) (* 3/8 (* r r))) 3/2) #s(literal 3/2 binary64)) (patch #s(approx (+ (* (* w w) (* 3/8 (* r r))) 3/2) #s(literal 3/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3/8 (* (pow r 2) (pow w 2))) (taylor inf r) (#s(alt #s(approx (+ (* (* w w) (* 3/8 (* r r))) 3/2) #s(literal 3/2 binary64)) (patch #s(approx (+ (* (* w w) (* 3/8 (* r r))) 3/2) #s(literal 3/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))) (taylor inf r) (#s(alt #s(approx (+ (* (* w w) (* 3/8 (* r r))) 3/2) #s(literal 3/2 binary64)) (patch #s(approx (+ (* (* w w) (* 3/8 (* r r))) 3/2) #s(literal 3/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))) (taylor inf r) (#s(alt #s(approx (+ (* (* w w) (* 3/8 (* r r))) 3/2) #s(literal 3/2 binary64)) (patch #s(approx (+ (* (* w w) (* 3/8 (* r r))) 3/2) #s(literal 3/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))) (taylor inf r) (#s(alt #s(approx (+ (* (* w w) (* 3/8 (* r r))) 3/2) #s(literal 3/2 binary64)) (patch #s(approx (+ (* (* w w) (* 3/8 (* r r))) 3/2) #s(literal 3/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3/8 (* (pow r 2) (pow w 2))) (taylor -inf r) (#s(alt #s(approx (+ (* (* w w) (* 3/8 (* r r))) 3/2) #s(literal 3/2 binary64)) (patch #s(approx (+ (* (* w w) (* 3/8 (* r r))) 3/2) #s(literal 3/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))) (taylor -inf r) (#s(alt #s(approx (+ (* (* w w) (* 3/8 (* r r))) 3/2) #s(literal 3/2 binary64)) (patch #s(approx (+ (* (* w w) (* 3/8 (* r r))) 3/2) #s(literal 3/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))) (taylor -inf r) (#s(alt #s(approx (+ (* (* w w) (* 3/8 (* r r))) 3/2) #s(literal 3/2 binary64)) (patch #s(approx (+ (* (* w w) (* 3/8 (* r r))) 3/2) #s(literal 3/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))) (taylor -inf r) (#s(alt #s(approx (+ (* (* w w) (* 3/8 (* r r))) 3/2) #s(literal 3/2 binary64)) (patch #s(approx (+ (* (* w w) (* 3/8 (* r r))) 3/2) #s(literal 3/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3/8 (* (pow r 2) w)) (taylor 0 w) (#s(alt (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) (patch (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3/8 (* (pow r 2) w)) (taylor 0 w) (#s(alt (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) (patch (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3/8 (* (pow r 2) w)) (taylor 0 w) (#s(alt (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) (patch (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3/8 (* (pow r 2) w)) (taylor 0 w) (#s(alt (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) (patch (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3/8 (* (pow r 2) w)) (taylor inf w) (#s(alt (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) (patch (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3/8 (* (pow r 2) w)) (taylor inf w) (#s(alt (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) (patch (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3/8 (* (pow r 2) w)) (taylor inf w) (#s(alt (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) (patch (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3/8 (* (pow r 2) w)) (taylor inf w) (#s(alt (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) (patch (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3/8 (* (pow r 2) w)) (taylor -inf w) (#s(alt (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) (patch (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3/8 (* (pow r 2) w)) (taylor -inf w) (#s(alt (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) (patch (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3/8 (* (pow r 2) w)) (taylor -inf w) (#s(alt (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) (patch (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3/8 (* (pow r 2) w)) (taylor -inf w) (#s(alt (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) (patch (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3/8 (* (pow r 2) w)) (taylor 0 r) (#s(alt (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) (patch (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3/8 (* (pow r 2) w)) (taylor 0 r) (#s(alt (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) (patch (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3/8 (* (pow r 2) w)) (taylor 0 r) (#s(alt (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) (patch (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3/8 (* (pow r 2) w)) (taylor 0 r) (#s(alt (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) (patch (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3/8 (* (pow r 2) w)) (taylor inf r) (#s(alt (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) (patch (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3/8 (* (pow r 2) w)) (taylor inf r) (#s(alt (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) (patch (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3/8 (* (pow r 2) w)) (taylor inf r) (#s(alt (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) (patch (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3/8 (* (pow r 2) w)) (taylor inf r) (#s(alt (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) (patch (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3/8 (* (pow r 2) w)) (taylor -inf r) (#s(alt (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) (patch (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3/8 (* (pow r 2) w)) (taylor -inf r) (#s(alt (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) (patch (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3/8 (* (pow r 2) w)) (taylor -inf r) (#s(alt (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) (patch (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3/8 (* (pow r 2) w)) (taylor -inf r) (#s(alt (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) (patch (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) #<representation binary64>) () ())) ())
#s(alt 3/2 (taylor 0 w) (#s(alt (fma.f64 (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) w #s(literal 3/2 binary64)) (patch (fma.f64 (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) w #s(literal 3/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))) (taylor 0 w) (#s(alt (fma.f64 (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) w #s(literal 3/2 binary64)) (patch (fma.f64 (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) w #s(literal 3/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))) (taylor 0 w) (#s(alt (fma.f64 (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) w #s(literal 3/2 binary64)) (patch (fma.f64 (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) w #s(literal 3/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))) (taylor 0 w) (#s(alt (fma.f64 (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) w #s(literal 3/2 binary64)) (patch (fma.f64 (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) w #s(literal 3/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3/8 (* (pow r 2) (pow w 2))) (taylor inf w) (#s(alt (fma.f64 (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) w #s(literal 3/2 binary64)) (patch (fma.f64 (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) w #s(literal 3/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow w 2) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) (taylor inf w) (#s(alt (fma.f64 (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) w #s(literal 3/2 binary64)) (patch (fma.f64 (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) w #s(literal 3/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow w 2) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) (taylor inf w) (#s(alt (fma.f64 (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) w #s(literal 3/2 binary64)) (patch (fma.f64 (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) w #s(literal 3/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow w 2) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) (taylor inf w) (#s(alt (fma.f64 (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) w #s(literal 3/2 binary64)) (patch (fma.f64 (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) w #s(literal 3/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3/8 (* (pow r 2) (pow w 2))) (taylor -inf w) (#s(alt (fma.f64 (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) w #s(literal 3/2 binary64)) (patch (fma.f64 (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) w #s(literal 3/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow w 2) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) (taylor -inf w) (#s(alt (fma.f64 (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) w #s(literal 3/2 binary64)) (patch (fma.f64 (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) w #s(literal 3/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow w 2) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) (taylor -inf w) (#s(alt (fma.f64 (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) w #s(literal 3/2 binary64)) (patch (fma.f64 (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) w #s(literal 3/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow w 2) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) (taylor -inf w) (#s(alt (fma.f64 (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) w #s(literal 3/2 binary64)) (patch (fma.f64 (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) w #s(literal 3/2 binary64)) #<representation binary64>) () ())) ())
#s(alt 3/2 (taylor 0 r) (#s(alt (fma.f64 (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) w #s(literal 3/2 binary64)) (patch (fma.f64 (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) w #s(literal 3/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))) (taylor 0 r) (#s(alt (fma.f64 (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) w #s(literal 3/2 binary64)) (patch (fma.f64 (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) w #s(literal 3/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))) (taylor 0 r) (#s(alt (fma.f64 (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) w #s(literal 3/2 binary64)) (patch (fma.f64 (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) w #s(literal 3/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))) (taylor 0 r) (#s(alt (fma.f64 (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) w #s(literal 3/2 binary64)) (patch (fma.f64 (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) w #s(literal 3/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3/8 (* (pow r 2) (pow w 2))) (taylor inf r) (#s(alt (fma.f64 (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) w #s(literal 3/2 binary64)) (patch (fma.f64 (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) w #s(literal 3/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))) (taylor inf r) (#s(alt (fma.f64 (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) w #s(literal 3/2 binary64)) (patch (fma.f64 (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) w #s(literal 3/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))) (taylor inf r) (#s(alt (fma.f64 (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) w #s(literal 3/2 binary64)) (patch (fma.f64 (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) w #s(literal 3/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))) (taylor inf r) (#s(alt (fma.f64 (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) w #s(literal 3/2 binary64)) (patch (fma.f64 (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) w #s(literal 3/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3/8 (* (pow r 2) (pow w 2))) (taylor -inf r) (#s(alt (fma.f64 (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) w #s(literal 3/2 binary64)) (patch (fma.f64 (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) w #s(literal 3/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))) (taylor -inf r) (#s(alt (fma.f64 (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) w #s(literal 3/2 binary64)) (patch (fma.f64 (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) w #s(literal 3/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))) (taylor -inf r) (#s(alt (fma.f64 (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) w #s(literal 3/2 binary64)) (patch (fma.f64 (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) w #s(literal 3/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))) (taylor -inf r) (#s(alt (fma.f64 (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) w #s(literal 3/2 binary64)) (patch (fma.f64 (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) w #s(literal 3/2 binary64)) #<representation binary64>) () ())) ())

Calls

135 calls:

Time	Variable		Point	Expression
11.0ms	v	@	inf	(/ (* (* r w) r) (- 1 v))
5.0ms	r	@	inf	(/ 2 r)
0.0ms	w	@	0	(* (* -1/4 (* r r)) w)
0.0ms	r	@	0	(/ (* (* r w) r) (- 1 v))
0.0ms	r	@	0	(* (* -1/4 (* r r)) w)

simplify764.0ms (5%)

Memory

-3.8MiB live, 1 088.4MiB allocated

Algorithm

1×	egg-herbie

Rules

25 918×	`lower-fma.f64`
25 918×	`lower-fma.f32`
5 530×	`lower-*.f64`
5 530×	`lower-*.f32`
4 576×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	306	9297
1	967	8905
2	3147	8324
0	8507	7853

Stop Event

1×	iter limit
1×	node limit

Counts

540 → 540

Calls

Call 1

Inputs
3/8
(+ 3/8 (* -1/4 v))
(+ 3/8 (* -1/4 v))
(+ 3/8 (* -1/4 v))
(* -1/4 v)
(* v (- (* 3/8 (/ 1 v)) 1/4))
(* v (- (* 3/8 (/ 1 v)) 1/4))
(* v (- (* 3/8 (/ 1 v)) 1/4))
(* -1/4 v)
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))
(/ 2 (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
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3/2
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3/2
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(+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))
(+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))
(* 3/8 (* (pow r 2) (pow w 2)))
(* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(* 3/8 (* (pow r 2) (pow w 2)))
(* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(* 3/8 (* (pow r 2) w))
(* 3/8 (* (pow r 2) w))
(* 3/8 (* (pow r 2) w))
(* 3/8 (* (pow r 2) w))
(* 3/8 (* (pow r 2) w))
(* 3/8 (* (pow r 2) w))
(* 3/8 (* (pow r 2) w))
(* 3/8 (* (pow r 2) w))
(* 3/8 (* (pow r 2) w))
(* 3/8 (* (pow r 2) w))
(* 3/8 (* (pow r 2) w))
(* 3/8 (* (pow r 2) w))
(* 3/8 (* (pow r 2) w))
(* 3/8 (* (pow r 2) w))
(* 3/8 (* (pow r 2) w))
(* 3/8 (* (pow r 2) w))
(* 3/8 (* (pow r 2) w))
(* 3/8 (* (pow r 2) w))
(* 3/8 (* (pow r 2) w))
(* 3/8 (* (pow r 2) w))
(* 3/8 (* (pow r 2) w))
(* 3/8 (* (pow r 2) w))
(* 3/8 (* (pow r 2) w))
(* 3/8 (* (pow r 2) w))
3/2
(+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))
(+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))
(+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))
(* 3/8 (* (pow r 2) (pow w 2)))
(* (pow w 2) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))
(* 3/8 (* (pow r 2) (pow w 2)))
(* (pow w 2) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))
3/2
(+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))
(+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))
(+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))
(* 3/8 (* (pow r 2) (pow w 2)))
(* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(* 3/8 (* (pow r 2) (pow w 2)))
(* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))

Outputs
3/8
#s(literal 3/8 binary64)
(+ 3/8 (* -1/4 v))
(fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))
(+ 3/8 (* -1/4 v))
(fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))
(+ 3/8 (* -1/4 v))
(fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))
(* -1/4 v)
(*.f64 #s(literal -1/4 binary64) v)
(* v (- (* 3/8 (/ 1 v)) 1/4))
(*.f64 v (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v)))
(* v (- (* 3/8 (/ 1 v)) 1/4))
(*.f64 v (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v)))
(* v (- (* 3/8 (/ 1 v)) 1/4))
(*.f64 v (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/8 binary64) v)))
(* -1/4 v)
(*.f64 #s(literal -1/4 binary64) v)
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))
(neg.f64 (*.f64 v (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -3/8 binary64) v))))
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))
(neg.f64 (*.f64 v (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -3/8 binary64) v))))
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v)))))
(neg.f64 (*.f64 v (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -3/8 binary64) v))))
(/ 2 (pow r 2))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/.f64 (fma.f64 r (.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (.f64 r r))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/.f64 (fma.f64 (.f64 r r) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 r r)) (/.f64 (.f64 w (.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) #s(literal 2 binary64)) (.f64 r r))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/.f64 (fma.f64 (.f64 r r) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 r r)) (/.f64 (.f64 w (.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) #s(literal 2 binary64)) (.f64 r r))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 w (.f64 (*.f64 r r) w))) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v))
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 r r)) (/.f64 (.f64 w (.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(fma.f64 (.f64 r r) (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 w w)) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v))) #s(literal -3/2 binary64))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(fma.f64 (.f64 r r) (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 w w)) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v))) #s(literal -3/2 binary64))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 w (.f64 (*.f64 r r) w))) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v))
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 r r)) (/.f64 (.f64 w (.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(fma.f64 (.f64 r r) (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 w w)) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v))) #s(literal -3/2 binary64))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(fma.f64 (.f64 r r) (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 w w)) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v))) #s(literal -3/2 binary64))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(+.f64 #s(literal -3/2 binary64) (fma.f64 (.f64 w (.f64 (.f64 r r) w)) #s(literal -3/8 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))))
(- (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(fma.f64 #s(literal -1/8 binary64) (.f64 v (.f64 w (.f64 (.f64 r r) w))) (+.f64 #s(literal -3/2 binary64) (fma.f64 (.f64 w (.f64 (.f64 r r) w)) #s(literal -3/8 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r)))))
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(fma.f64 v (.f64 #s(literal -1/8 binary64) (.f64 (.f64 r r) (.f64 w (fma.f64 v w w)))) (+.f64 #s(literal -3/2 binary64) (fma.f64 (.f64 w (.f64 (.f64 r r) w)) #s(literal -3/8 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r)))))
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 v (fma.f64 v (.f64 #s(literal -1/8 binary64) (.f64 (.f64 r r) (.f64 w (fma.f64 v w w)))) (.f64 #s(literal -1/8 binary64) (.f64 w (.f64 (.f64 r r) w)))) (fma.f64 (.f64 w (.f64 (.f64 r r) w)) #s(literal -3/8 binary64) #s(literal -3/2 binary64))))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(+.f64 #s(literal -3/2 binary64) (fma.f64 #s(literal -1/4 binary64) (.f64 w (.f64 (.f64 r r) w)) (/.f64 #s(literal 2 binary64) (.f64 r r))))
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(+.f64 #s(literal -3/2 binary64) (fma.f64 #s(literal -1/4 binary64) (.f64 w (.f64 (.f64 r r) w)) (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 w (.f64 (.f64 r r) w)) v) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 r r) (.f64 (/.f64 w v) (+.f64 w (/.f64 w v)))) (fma.f64 #s(literal -1/4 binary64) (.f64 w (.f64 (*.f64 r r) w)) #s(literal -3/2 binary64))))
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2)))))))
(+.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 w (.f64 (.f64 r r) w)) (.f64 v (.f64 v v))) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 r r) (.f64 (/.f64 w v) (+.f64 w (/.f64 w v)))) (fma.f64 #s(literal -1/4 binary64) (.f64 w (.f64 (.f64 r r) w)) #s(literal -3/2 binary64))))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(+.f64 #s(literal -3/2 binary64) (fma.f64 #s(literal -1/4 binary64) (.f64 w (.f64 (.f64 r r) w)) (/.f64 #s(literal 2 binary64) (.f64 r r))))
(- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(+.f64 #s(literal -3/2 binary64) (fma.f64 #s(literal -1/4 binary64) (.f64 w (.f64 (.f64 r r) w)) (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 w (.f64 (.f64 r r) w)) v) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))
(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 r r) (.f64 (/.f64 w v) (+.f64 w (/.f64 w v)))) (fma.f64 #s(literal -1/4 binary64) (.f64 w (.f64 (*.f64 r r) w)) #s(literal -3/2 binary64))))
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(-.f64 (+.f64 #s(literal -3/2 binary64) (fma.f64 #s(literal -1/4 binary64) (.f64 w (.f64 (.f64 r r) w)) (/.f64 #s(literal 2 binary64) (.f64 r r)))) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 r r) (-.f64 (.f64 w (neg.f64 w)) (*.f64 (/.f64 w v) (+.f64 w (/.f64 w v)))))) v))
(- (* 2 (/ 1 (pow r 2))) 3/2)
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)
(fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 r r)) (/.f64 (.f64 w (.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)
(fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 r r)) (/.f64 (.f64 w (.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)
(fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 r r)) (/.f64 (.f64 w (.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 w (.f64 (*.f64 r r) w))) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(fma.f64 (.f64 w w) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 w (.f64 (.f64 r r) w))) (.f64 (.f64 #s(literal 1/8 binary64) (*.f64 r r)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) #s(literal -3/2 binary64))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(fma.f64 (.f64 w w) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 w (.f64 (.f64 r r) w))) (.f64 (.f64 #s(literal 1/8 binary64) (*.f64 r r)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) #s(literal -3/2 binary64))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(fma.f64 (.f64 w w) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 w (.f64 (.f64 r r) w))) (.f64 (.f64 #s(literal 1/8 binary64) (*.f64 r r)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) #s(literal -3/2 binary64))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))
(/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 w (.f64 (*.f64 r r) w))) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(fma.f64 (.f64 w w) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 w (.f64 (.f64 r r) w))) (.f64 (.f64 #s(literal 1/8 binary64) (*.f64 r r)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) #s(literal -3/2 binary64))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(fma.f64 (.f64 w w) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 w (.f64 (.f64 r r) w))) (.f64 (.f64 #s(literal 1/8 binary64) (*.f64 r r)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) #s(literal -3/2 binary64))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))))
(fma.f64 (.f64 w w) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 w (.f64 (.f64 r r) w))) (.f64 (.f64 #s(literal 1/8 binary64) (*.f64 r r)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) #s(literal -3/2 binary64))
(/ 2 (pow r 2))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/ (+ 2 (* 3 (pow r 2))) (pow r 2))
(/.f64 (fma.f64 r (.f64 r #s(literal 3 binary64)) #s(literal 2 binary64)) (.f64 r r))
(/ (+ 2 (* 3 (pow r 2))) (pow r 2))
(/.f64 (fma.f64 r (.f64 r #s(literal 3 binary64)) #s(literal 2 binary64)) (.f64 r r))
(/ (+ 2 (* 3 (pow r 2))) (pow r 2))
(/.f64 (fma.f64 r (.f64 r #s(literal 3 binary64)) #s(literal 2 binary64)) (.f64 r r))
3
#s(literal 3 binary64)
(+ 3 (* 2 (/ 1 (pow r 2))))
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(+ 3 (* 2 (/ 1 (pow r 2))))
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(+ 3 (* 2 (/ 1 (pow r 2))))
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
3
#s(literal 3 binary64)
(+ 3 (* 2 (/ 1 (pow r 2))))
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(+ 3 (* 2 (/ 1 (pow r 2))))
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(+ 3 (* 2 (/ 1 (pow r 2))))
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(/ 2 (pow r 2))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/ 2 (pow r 2))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/ 2 (pow r 2))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/ 2 (pow r 2))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/ 2 (pow r 2))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/ 2 (pow r 2))
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(.f64 #s(literal 3/8 binary64) (.f64 (*.f64 r r) w))
(* 3/8 (* (pow r 2) w))
(.f64 #s(literal 3/8 binary64) (.f64 (*.f64 r r) w))
(* 3/8 (* (pow r 2) w))
(.f64 #s(literal 3/8 binary64) (.f64 (*.f64 r r) w))
(* 3/8 (* (pow r 2) w))
(.f64 #s(literal 3/8 binary64) (.f64 (*.f64 r r) w))
(* 3/8 (* (pow r 2) w))
(.f64 #s(literal 3/8 binary64) (.f64 (*.f64 r r) w))
(* 3/8 (* (pow r 2) w))
(.f64 #s(literal 3/8 binary64) (.f64 (*.f64 r r) w))
(* 3/8 (* (pow r 2) w))
(.f64 #s(literal 3/8 binary64) (.f64 (*.f64 r r) w))
(* 3/8 (* (pow r 2) w))
(.f64 #s(literal 3/8 binary64) (.f64 (*.f64 r r) w))
(* 3/8 (* (pow r 2) w))
(.f64 #s(literal 3/8 binary64) (.f64 (*.f64 r r) w))
(* 3/8 (* (pow r 2) w))
(.f64 #s(literal 3/8 binary64) (.f64 (*.f64 r r) w))
(* 3/8 (* (pow r 2) w))
(.f64 #s(literal 3/8 binary64) (.f64 (*.f64 r r) w))
3/2
#s(literal 3/2 binary64)
(+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))
(fma.f64 #s(literal 3/8 binary64) (.f64 w (.f64 (*.f64 r r) w)) #s(literal 3/2 binary64))
(+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))
(fma.f64 #s(literal 3/8 binary64) (.f64 w (.f64 (*.f64 r r) w)) #s(literal 3/2 binary64))
(+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))
(fma.f64 #s(literal 3/8 binary64) (.f64 w (.f64 (*.f64 r r) w)) #s(literal 3/2 binary64))
(* 3/8 (* (pow r 2) (pow w 2)))
(.f64 #s(literal 3/8 binary64) (.f64 w (.f64 (.f64 r r) w)))
(* (pow w 2) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))
(fma.f64 #s(literal 3/8 binary64) (.f64 w (.f64 (*.f64 r r) w)) #s(literal 3/2 binary64))
(* (pow w 2) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))
(fma.f64 #s(literal 3/8 binary64) (.f64 w (.f64 (*.f64 r r) w)) #s(literal 3/2 binary64))
(* (pow w 2) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))
(fma.f64 #s(literal 3/8 binary64) (.f64 w (.f64 (*.f64 r r) w)) #s(literal 3/2 binary64))
(* 3/8 (* (pow r 2) (pow w 2)))
(.f64 #s(literal 3/8 binary64) (.f64 w (.f64 (.f64 r r) w)))
(* (pow w 2) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))
(fma.f64 #s(literal 3/8 binary64) (.f64 w (.f64 (*.f64 r r) w)) #s(literal 3/2 binary64))
(* (pow w 2) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))
(fma.f64 #s(literal 3/8 binary64) (.f64 w (.f64 (*.f64 r r) w)) #s(literal 3/2 binary64))
(* (pow w 2) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))
(fma.f64 #s(literal 3/8 binary64) (.f64 w (.f64 (*.f64 r r) w)) #s(literal 3/2 binary64))
3/2
#s(literal 3/2 binary64)
(+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))
(fma.f64 #s(literal 3/8 binary64) (.f64 w (.f64 (*.f64 r r) w)) #s(literal 3/2 binary64))
(+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))
(fma.f64 #s(literal 3/8 binary64) (.f64 w (.f64 (*.f64 r r) w)) #s(literal 3/2 binary64))
(+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))
(fma.f64 #s(literal 3/8 binary64) (.f64 w (.f64 (*.f64 r r) w)) #s(literal 3/2 binary64))
(* 3/8 (* (pow r 2) (pow w 2)))
(.f64 #s(literal 3/8 binary64) (.f64 w (.f64 (.f64 r r) w)))
(* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(fma.f64 #s(literal 3/8 binary64) (.f64 w (.f64 (*.f64 r r) w)) #s(literal 3/2 binary64))
(* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(fma.f64 #s(literal 3/8 binary64) (.f64 w (.f64 (*.f64 r r) w)) #s(literal 3/2 binary64))
(* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(fma.f64 #s(literal 3/8 binary64) (.f64 w (.f64 (*.f64 r r) w)) #s(literal 3/2 binary64))
(* 3/8 (* (pow r 2) (pow w 2)))
(.f64 #s(literal 3/8 binary64) (.f64 w (.f64 (.f64 r r) w)))
(* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(fma.f64 #s(literal 3/8 binary64) (.f64 w (.f64 (*.f64 r r) w)) #s(literal 3/2 binary64))
(* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(fma.f64 #s(literal 3/8 binary64) (.f64 w (.f64 (*.f64 r r) w)) #s(literal 3/2 binary64))
(* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(fma.f64 #s(literal 3/8 binary64) (.f64 w (.f64 (*.f64 r r) w)) #s(literal 3/2 binary64))

rewrite371.0ms (2.4%)

Memory

-15.9MiB live, 586.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 778×	`lower-*.f32`
3 760×	`lower-*.f64`
3 722×	`lower-/.f32`
3 714×	`lower-/.f64`
3 710×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	359
0	86	352
1	383	321
2	3465	321
0	8188	298

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

22 → 526

Calls

Call 1

Inputs
(*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (/.f64 (.f64 (*.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) w) #s(literal 9/2 binary64)))
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w w) (* 3/8 (* r r))) 3/2) #s(literal 3/2 binary64))))
(-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w w) (* 3/8 (* r r))) 3/2) #s(literal 3/2 binary64)))
(*.f64 r r)
(/.f64 (/.f64 #s(literal 2 binary64) r) r)
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r))
(/.f64 #s(literal 2 binary64) r)
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (.f64 r r)))))
(+.f64 #s(literal -3/2 binary64) (fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (.f64 r r))))
(fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (.f64 r r)))
(.f64 (.f64 #s(literal -1/4 binary64) (*.f64 r r)) w)
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) w #s(literal 3/2 binary64))))
(-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) w #s(literal 3/2 binary64)))
(.f64 (/.f64 (.f64 (*.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) w)
(/.f64 (.f64 (.f64 r w) r) (-.f64 #s(literal 1 binary64) v))
(.f64 (.f64 r w) r)
#s(approx (+ (* (* w w) (* 3/8 (* r r))) 3/2) #s(literal 3/2 binary64))
(.f64 w (.f64 (*.f64 r r) #s(literal 3/8 binary64)))
(fma.f64 (.f64 w (.f64 (*.f64 r r) #s(literal 3/8 binary64))) w #s(literal 3/2 binary64))

Outputs
(+.f64 #s(literal 3/8 binary64) (*.f64 v #s(literal -1/4 binary64)))
(+.f64 (*.f64 v #s(literal -1/4 binary64)) #s(literal 3/8 binary64))
(fma.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)) #s(literal 3/8 binary64))
(fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))
(fma.f64 #s(literal -2 binary64) (*.f64 v #s(literal 1/8 binary64)) #s(literal 3/8 binary64))
(fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))
(fma.f64 (*.f64 v #s(literal -2 binary64)) #s(literal 1/8 binary64) #s(literal 3/8 binary64))
(fma.f64 (*.f64 #s(literal 1/8 binary64) v) #s(literal -2 binary64) #s(literal 3/8 binary64))
(/.f64 (fma.f64 (.f64 v (.f64 v v)) #s(literal -1/64 binary64) #s(literal 27/512 binary64)) (fma.f64 (.f64 v #s(literal -1/4 binary64)) (.f64 v #s(literal -1/4 binary64)) (-.f64 #s(literal 9/64 binary64) (.f64 (.f64 v #s(literal -1/4 binary64)) #s(literal 3/8 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 v #s(literal -1/4 binary64)) (.f64 v #s(literal -1/4 binary64))) #s(literal 9/64 binary64)) (-.f64 (.f64 v #s(literal -1/4 binary64)) #s(literal 3/8 binary64)))
(/.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 (.f64 v (.f64 v v)) #s(literal 8 binary64) #s(literal 27 binary64))) (-.f64 (fma.f64 (.f64 v v) #s(literal 4 binary64) #s(literal 9 binary64)) (*.f64 v #s(literal -6 binary64))))
(/.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 (.f64 v (.f64 v v)) #s(literal 8 binary64) #s(literal 27 binary64))) (fma.f64 (.f64 v #s(literal 2 binary64)) (fma.f64 v #s(literal 2 binary64) #s(literal 3 binary64)) #s(literal 9 binary64)))
(/.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 (.f64 v v) #s(literal 4 binary64) #s(literal -9 binary64))) (fma.f64 v #s(literal -2 binary64) #s(literal -3 binary64)))
(/.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 9 binary64) (.f64 (*.f64 v v) #s(literal 4 binary64)))) (fma.f64 v #s(literal 2 binary64) #s(literal 3 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 v (.f64 v v)) #s(literal 8 binary64) #s(literal 27 binary64)) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (.f64 v v) #s(literal 4 binary64) #s(literal 9 binary64)) (*.f64 v #s(literal -6 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 v (.f64 v v)) #s(literal 8 binary64) #s(literal 27 binary64)) #s(literal 1/8 binary64)) (fma.f64 (.f64 v #s(literal 2 binary64)) (fma.f64 v #s(literal 2 binary64) #s(literal 3 binary64)) #s(literal 9 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 v v) #s(literal 4 binary64) #s(literal -9 binary64)) #s(literal 1/8 binary64)) (fma.f64 v #s(literal -2 binary64) #s(literal -3 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 9 binary64) (.f64 (*.f64 v v) #s(literal 4 binary64))) #s(literal 1/8 binary64)) (fma.f64 v #s(literal 2 binary64) #s(literal 3 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 v (.f64 v v)) #s(literal -1/64 binary64) #s(literal 27/512 binary64))) (neg.f64 (fma.f64 (.f64 v #s(literal -1/4 binary64)) (.f64 v #s(literal -1/4 binary64)) (-.f64 #s(literal 9/64 binary64) (.f64 (.f64 v #s(literal -1/4 binary64)) #s(literal 3/8 binary64))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 v #s(literal -1/4 binary64)) (.f64 v #s(literal -1/4 binary64))) #s(literal 9/64 binary64))) (neg.f64 (-.f64 (.f64 v #s(literal -1/4 binary64)) #s(literal 3/8 binary64))))
(/.f64 (neg.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 (.f64 v (.f64 v v)) #s(literal 8 binary64) #s(literal 27 binary64)))) (neg.f64 (-.f64 (fma.f64 (.f64 v v) #s(literal 4 binary64) #s(literal 9 binary64)) (*.f64 v #s(literal -6 binary64)))))
(/.f64 (neg.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 (.f64 v (.f64 v v)) #s(literal 8 binary64) #s(literal 27 binary64)))) (neg.f64 (fma.f64 (.f64 v #s(literal 2 binary64)) (fma.f64 v #s(literal 2 binary64) #s(literal 3 binary64)) #s(literal 9 binary64))))
(/.f64 (neg.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 (.f64 v v) #s(literal 4 binary64) #s(literal -9 binary64)))) (neg.f64 (fma.f64 v #s(literal -2 binary64) #s(literal -3 binary64))))
(/.f64 (neg.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 9 binary64) (.f64 (*.f64 v v) #s(literal 4 binary64))))) (neg.f64 (fma.f64 v #s(literal 2 binary64) #s(literal 3 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 v (.f64 v v)) #s(literal 8 binary64) #s(literal 27 binary64)) #s(literal 1/8 binary64))) (neg.f64 (-.f64 (fma.f64 (.f64 v v) #s(literal 4 binary64) #s(literal 9 binary64)) (*.f64 v #s(literal -6 binary64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 v (.f64 v v)) #s(literal 8 binary64) #s(literal 27 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (.f64 v #s(literal 2 binary64)) (fma.f64 v #s(literal 2 binary64) #s(literal 3 binary64)) #s(literal 9 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 v v) #s(literal 4 binary64) #s(literal -9 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 v #s(literal -2 binary64) #s(literal -3 binary64))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 9 binary64) (.f64 (*.f64 v v) #s(literal 4 binary64))) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 v #s(literal 2 binary64) #s(literal 3 binary64))))
(*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))
(*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64))
(+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (.f64 r (.f64 r (.f64 w w))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))))
(+.f64 #s(literal 3 binary64) (+.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (/.f64 (.f64 (.f64 r (.f64 w w)) (*.f64 r (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))) (-.f64 #s(literal 1 binary64) v))) #s(literal -9/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 #s(literal 3 binary64) (fma.f64 (neg.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) (/.f64 (.f64 r (.f64 r (.f64 w w))) (-.f64 #s(literal 1 binary64) v)) #s(literal -9/2 binary64))))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (-.f64 #s(literal 3 binary64) (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (.f64 r (.f64 r (.f64 w w))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))))
(+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 (neg.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) (/.f64 (.f64 r (.f64 r (.f64 w w))) (-.f64 #s(literal 1 binary64) v)) #s(literal -9/2 binary64)))
(+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (-.f64 (/.f64 (.f64 (.f64 r (.f64 w w)) (*.f64 r (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)))
(+.f64 (+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (/.f64 (.f64 (.f64 r (.f64 w w)) (*.f64 r (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))) (-.f64 #s(literal 1 binary64) v)))) #s(literal -9/2 binary64))
(+.f64 #s(literal -9/2 binary64) (+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (/.f64 (.f64 (.f64 r (.f64 w w)) (*.f64 r (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))) (-.f64 #s(literal 1 binary64) v)))))
(+.f64 (fma.f64 (neg.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) (/.f64 (.f64 r (.f64 r (.f64 w w))) (-.f64 #s(literal 1 binary64) v)) #s(literal -9/2 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))))
(+.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (.f64 r (.f64 r (.f64 w w))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))) #s(literal 3 binary64))
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (.f64 r (.f64 r (.f64 w w))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)))
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (-.f64 (/.f64 (.f64 (.f64 r (.f64 w w)) (*.f64 r (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))) (-.f64 #s(literal 1 binary64) v)) #s(literal -9/2 binary64)))
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(-.f64 (/.f64 (.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))))) (fma.f64 (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (.f64 r (.f64 r (.f64 w w))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)) (+.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (.f64 r (.f64 r (.f64 w w))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)))) (.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r)))))) (/.f64 (.f64 (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (.f64 r (.f64 r (.f64 w w))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)) (.f64 (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (.f64 r (.f64 r (.f64 w w))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)) (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (.f64 r (.f64 r (.f64 w w))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)))) (fma.f64 (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (.f64 r (.f64 r (.f64 w w))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)) (+.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (.f64 r (.f64 r (.f64 w w))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)))) (.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r)))))))
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(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 w w) (.f64 (.f64 w w) (.f64 w w))) #s(literal 27/512 binary64)) (.f64 (.f64 r r) (.f64 (.f64 r r) (.f64 r r))) #s(literal 27/8 binary64))) (neg.f64 (-.f64 (fma.f64 (.f64 w w) (.f64 (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64)))) #s(literal 9/4 binary64)) (.f64 w (.f64 (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) #s(literal 3/2 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 w w) (.f64 (.f64 w w) (.f64 w w))) #s(literal 27/512 binary64)) (.f64 (.f64 r r) (.f64 (.f64 r r) (.f64 r r))) #s(literal 27/8 binary64))) (neg.f64 (+.f64 #s(literal 9/4 binary64) (-.f64 (.f64 w (.f64 (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) (.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal 3/8 binary64))))) (.f64 w (.f64 (.f64 w (.f64 (*.f64 r r) #s(literal 3/8 binary64))) #s(literal 3/2 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (.f64 w w) (.f64 (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64)))) #s(literal -9/4 binary64))) (neg.f64 (fma.f64 (.f64 r r) (.f64 (*.f64 w w) #s(literal 3/8 binary64)) #s(literal -3/2 binary64))))
(/.f64 (-.f64 #s(literal 9/4 binary64) (.f64 w (.f64 (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) (.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal 3/8 binary64)))))) (-.f64 #s(literal 3/2 binary64) (.f64 (.f64 r r) (.f64 (*.f64 w w) #s(literal 3/8 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 w w) (.f64 (.f64 w w) (.f64 w w))) #s(literal 27/512 binary64)) (.f64 (.f64 r r) (.f64 (.f64 r r) (.f64 r r))) #s(literal 27/8 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (.f64 w w) (.f64 (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64)))) #s(literal 9/4 binary64)) (.f64 w (.f64 (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) #s(literal 3/2 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 w w) (.f64 (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64)))) #s(literal -9/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 r r) (.f64 (*.f64 w w) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 9/4 binary64) (.f64 w (.f64 (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) (.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal 3/8 binary64))))))) (neg.f64 (-.f64 #s(literal 3/2 binary64) (.f64 (.f64 r r) (.f64 (*.f64 w w) #s(literal 3/8 binary64))))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (.f64 w w) (.f64 (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64)))) #s(literal 9/4 binary64)) (.f64 w (.f64 (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) #s(literal 3/2 binary64)))) (fma.f64 (.f64 (.f64 (.f64 w w) (.f64 (.f64 w w) (.f64 w w))) #s(literal 27/512 binary64)) (.f64 (.f64 r r) (.f64 (.f64 r r) (.f64 r r))) #s(literal 27/8 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)) (fma.f64 (.f64 w w) (.f64 (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) (.f64 w (.f64 (*.f64 r r) #s(literal 3/8 binary64)))) #s(literal -9/4 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 (.f64 (.f64 w w) (.f64 (.f64 w w) (.f64 w w))) #s(literal 27/512 binary64)) (.f64 (.f64 r r) (.f64 (.f64 r r) (.f64 r r))) #s(literal 27/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 w w) (.f64 (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64)))) #s(literal 9/4 binary64)) (.f64 w (.f64 (.f64 w (.f64 (*.f64 r r) #s(literal 3/8 binary64))) #s(literal 3/2 binary64))))))
(.f64 (fma.f64 (.f64 w w) (.f64 (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64)))) #s(literal -9/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal 3/8 binary64)) #s(literal -3/2 binary64))))

eval200.0ms (1.3%)

Memory: 13.0MiB live, 377.3MiB allocated
Compiler: Compiled 38 390 to 1 932 computations (95% saved)

prune240.0ms (1.6%)

Memory

0.4MiB live, 434.5MiB allocated

Pruning

21 alts after pruning (18 fresh and 3 done)

	Pruned	Kept	Total
New	1 284	8	1 292
Fresh	4	10	14
Picked	3	2	5
Done	0	1	1
Total	1 291	21	1 312

Accuracy

100.0%

Counts

1 312 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	55.6%	(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (.f64 (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 w (.f64 r w)))) (.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v))))) #s(literal 9/2 binary64))
▶	93.0%	(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w) (/.f64 (.f64 (.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)))
▶	45.5%	(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64))
	56.3%	(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (.f64 w (.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)))
	89.3%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 w #s(literal -1/4 binary64)) (.f64 r (.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64))))
▶	81.5%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 r #s(literal -1/4 binary64)) (.f64 r (.f64 w w)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64))))
✓	42.5%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r))
	32.7%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) (-.f64 (fma.f64 #s(literal 9/64 binary64) (.f64 (.f64 r (.f64 w (.f64 r w))) (.f64 r (.f64 w (.f64 r w)))) #s(literal 9/4 binary64)) (.f64 w (.f64 (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) #s(literal 3/2 binary64))))) (.f64 (.f64 r r) (fma.f64 (.f64 (.f64 w w) (.f64 (.f64 w w) (.f64 w w))) (.f64 (.f64 (.f64 r r) (.f64 (.f64 r r) (.f64 r r))) #s(literal 27/512 binary64)) #s(literal 27/8 binary64)))) (.f64 (.f64 r r) (-.f64 (fma.f64 #s(literal 9/64 binary64) (.f64 (.f64 r (.f64 w (.f64 r w))) (.f64 r (.f64 w (.f64 r w)))) #s(literal 9/4 binary64)) (.f64 w (.f64 (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) #s(literal 3/2 binary64)))))))
✓	42.5%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
	90.6%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 (.f64 w (.f64 r #s(literal 3/8 binary64))) r) w #s(literal 3/2 binary64))))
	89.0%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 r (.f64 w (.f64 r w))) #s(literal 3/8 binary64) #s(literal 3/2 binary64))))
	89.0%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 r #s(literal 3/8 binary64)) (.f64 w (.f64 r w)) #s(literal 3/2 binary64))))
▶	74.0%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w (* (* r r) 3/8)) w) 3/2) (.f64 #s(literal 3/8 binary64) (.f64 w (.f64 (.f64 r r) w))))))
	68.2%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w w) (* 3/8 (* r r))) 3/2) (.f64 r (.f64 #s(literal 3/8 binary64) (.f64 r (.f64 w w)))))))
✓	56.8%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w w) (* 3/8 (* r r))) 3/2) #s(literal 3/2 binary64))))
	42.5%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w (* (* r r) 3/8)) w) 3/2)) (fma.f64 (.f64 w (.f64 (*.f64 r r) w)) #s(literal -3/8 binary64) #s(literal -3/2 binary64))))
	33.3%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w (* (* r r) 3/8)) w) 3/2)) (.f64 (.f64 w (.f64 (.f64 r r) w)) #s(literal -3/8 binary64))))
	31.0%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w w) (* 3/8 (* r r))) 3/2)) (.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal -3/8 binary64)))))
	24.2%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (.f64 (.f64 r r) (.f64 w (.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))))))
▶	41.2%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 #s(literal -1/4 binary64) (.f64 w (.f64 (*.f64 r r) w)) #s(literal -3/2 binary64))))
	31.8%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (.f64 #s(literal -1/4 binary64) (.f64 w (.f64 (.f64 r r) w)))))

Compiler

Compiled 878 to 496 computations (43.5% saved)

simplify401.0ms (2.6%)

Memory

-14.9MiB live, 571.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 r (.f64 w w))
✓	cost-diff	0	(*.f64 r #s(literal -1/4 binary64))
✓	cost-diff	0	(fma.f64 (.f64 r #s(literal -1/4 binary64)) (.f64 r (.f64 w w)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64)))
✓	cost-diff	0	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 r #s(literal -1/4 binary64)) (.f64 r (.f64 w w)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64))))
✓	cost-diff	0	(*.f64 r r)
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) (*.f64 r r))
✓	cost-diff	0	(-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w (* (* r r) 3/8)) w) 3/2) (.f64 #s(literal 3/8 binary64) (.f64 w (.f64 (.f64 r r) w)))))
✓	cost-diff	0	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w (* (* r r) 3/8)) w) 3/2) (.f64 #s(literal 3/8 binary64) (.f64 w (.f64 (.f64 r r) w))))))
✓	cost-diff	0	(.f64 w (.f64 (*.f64 r r) w))
✓	cost-diff	0	(fma.f64 #s(literal -1/4 binary64) (.f64 w (.f64 (*.f64 r r) w)) #s(literal -3/2 binary64))
✓	cost-diff	0	#s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 #s(literal -1/4 binary64) (.f64 w (.f64 (*.f64 r r) w)) #s(literal -3/2 binary64)))
✓	cost-diff	0	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 #s(literal -1/4 binary64) (.f64 w (.f64 (*.f64 r r) w)) #s(literal -3/2 binary64))))
✓	cost-diff	0	(*.f64 r r)
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) (*.f64 r r))
✓	cost-diff	0	#s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
✓	cost-diff	0	(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64))
✓	cost-diff	0	(*.f64 r r)
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) (*.f64 r r))
✓	cost-diff	0	(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
✓	cost-diff	192	(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w) (/.f64 (.f64 (.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)))

Rules

13 842×	`lower-fma.f32`
13 834×	`lower-fma.f64`
4 896×	`lower-*.f32`
4 876×	`lower-*.f64`
3 428×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	521
0	92	519
1	199	519
2	467	497
3	1496	497
4	4297	497
0	8270	488

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w) (/.f64 (.f64 (.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)))
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
#s(literal 3 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal 2 binary64)
(*.f64 r r)
r
(fma.f64 (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w) (/.f64 (.f64 (*.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))
(*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w)
(fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))
v
#s(literal -1/4 binary64)
#s(literal 3/8 binary64)
w
(/.f64 (.f64 (.f64 r w) r) (-.f64 #s(literal 1 binary64) v))
(.f64 (.f64 r w) r)
(*.f64 r w)
(-.f64 #s(literal 1 binary64) v)
#s(literal 1 binary64)
#s(literal 9/2 binary64)
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64))
#s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal 2 binary64)
(*.f64 r r)
r
#s(literal 9/2 binary64)
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 #s(literal -1/4 binary64) (.f64 w (.f64 (*.f64 r r) w)) #s(literal -3/2 binary64))))
#s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 #s(literal -1/4 binary64) (.f64 w (.f64 (*.f64 r r) w)) #s(literal -3/2 binary64)))
(fma.f64 #s(literal -1/4 binary64) (.f64 w (.f64 (*.f64 r r) w)) #s(literal -3/2 binary64))
#s(literal -1/4 binary64)
(.f64 w (.f64 (*.f64 r r) w))
w
(.f64 (.f64 r r) w)
(*.f64 r r)
r
#s(literal -3/2 binary64)
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w (* (* r r) 3/8)) w) 3/2) (.f64 #s(literal 3/8 binary64) (.f64 w (.f64 (.f64 r r) w))))))
(-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w (* (* r r) 3/8)) w) 3/2) (.f64 #s(literal 3/8 binary64) (.f64 w (.f64 (.f64 r r) w)))))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal 2 binary64)
(*.f64 r r)
r
#s(approx (+ (* (* w (* (* r r) 3/8)) w) 3/2) (.f64 #s(literal 3/8 binary64) (.f64 w (.f64 (.f64 r r) w))))
(.f64 #s(literal 3/8 binary64) (.f64 w (.f64 (.f64 r r) w)))
#s(literal 3/8 binary64)
(.f64 w (.f64 (*.f64 r r) w))
w
(.f64 (.f64 r r) w)
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 r #s(literal -1/4 binary64)) (.f64 r (.f64 w w)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64))))
(fma.f64 (.f64 r #s(literal -1/4 binary64)) (.f64 r (.f64 w w)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64)))
(*.f64 r #s(literal -1/4 binary64))
r
#s(literal -1/4 binary64)
(.f64 r (.f64 w w))
(*.f64 w w)
w
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal 2 binary64)
(*.f64 r r)
#s(literal -3/2 binary64)

Outputs
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w) (/.f64 (.f64 (.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 w (.f64 r (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))) (.f64 r (/.f64 w (+.f64 v #s(literal -1 binary64)))) #s(literal -3/2 binary64)))
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
#s(literal 3 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal 2 binary64)
(*.f64 r r)
r
(fma.f64 (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w) (/.f64 (.f64 (*.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))
(fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (.f64 r (.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))
(*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w)
(*.f64 w (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))
(fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))
v
#s(literal -1/4 binary64)
#s(literal 3/8 binary64)
w
(/.f64 (.f64 (.f64 r w) r) (-.f64 #s(literal 1 binary64) v))
(/.f64 (.f64 r (.f64 r w)) (-.f64 #s(literal 1 binary64) v))
(.f64 (.f64 r w) r)
(.f64 r (.f64 r w))
(*.f64 r w)
(-.f64 #s(literal 1 binary64) v)
#s(literal 1 binary64)
#s(literal 9/2 binary64)
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64))
(+.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal -9/2 binary64))
#s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal 2 binary64)
(*.f64 r r)
r
#s(literal 9/2 binary64)
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 #s(literal -1/4 binary64) (.f64 w (.f64 (*.f64 r r) w)) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 #s(literal -1/4 binary64) (.f64 r (.f64 r (*.f64 w w))) #s(literal -3/2 binary64))))
#s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 #s(literal -1/4 binary64) (.f64 w (.f64 (*.f64 r r) w)) #s(literal -3/2 binary64)))
#s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 #s(literal -1/4 binary64) (.f64 r (.f64 r (*.f64 w w))) #s(literal -3/2 binary64)))
(fma.f64 #s(literal -1/4 binary64) (.f64 w (.f64 (*.f64 r r) w)) #s(literal -3/2 binary64))
(fma.f64 #s(literal -1/4 binary64) (.f64 r (.f64 r (*.f64 w w))) #s(literal -3/2 binary64))
#s(literal -1/4 binary64)
(.f64 w (.f64 (*.f64 r r) w))
(.f64 r (.f64 r (*.f64 w w)))
w
(.f64 (.f64 r r) w)
(.f64 r (.f64 r w))
(*.f64 r r)
r
#s(literal -3/2 binary64)
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w (* (* r r) 3/8)) w) 3/2) (.f64 #s(literal 3/8 binary64) (.f64 w (.f64 (.f64 r r) w))))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w (* (* r r) 3/8)) w) 3/2) (.f64 r (.f64 #s(literal 3/8 binary64) (.f64 r (.f64 w w)))))))
(-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w (* (* r r) 3/8)) w) 3/2) (.f64 #s(literal 3/8 binary64) (.f64 w (.f64 (.f64 r r) w)))))
(-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w (* (* r r) 3/8)) w) 3/2) (.f64 r (.f64 #s(literal 3/8 binary64) (.f64 r (.f64 w w))))))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal 2 binary64)
(*.f64 r r)
r
#s(approx (+ (* (* w (* (* r r) 3/8)) w) 3/2) (.f64 #s(literal 3/8 binary64) (.f64 w (.f64 (.f64 r r) w))))
#s(approx (+ (* (* w (* (* r r) 3/8)) w) 3/2) (.f64 r (.f64 #s(literal 3/8 binary64) (.f64 r (.f64 w w)))))
(.f64 #s(literal 3/8 binary64) (.f64 w (.f64 (.f64 r r) w)))
(.f64 r (.f64 #s(literal 3/8 binary64) (.f64 r (.f64 w w))))
#s(literal 3/8 binary64)
(.f64 w (.f64 (*.f64 r r) w))
(.f64 r (.f64 r (*.f64 w w)))
w
(.f64 (.f64 r r) w)
(.f64 r (.f64 r w))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 r #s(literal -1/4 binary64)) (.f64 r (.f64 w w)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 #s(literal -1/4 binary64) (.f64 r (.f64 r (.f64 w w))) #s(literal -3/2 binary64))))
(fma.f64 (.f64 r #s(literal -1/4 binary64)) (.f64 r (.f64 w w)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 #s(literal -1/4 binary64) (.f64 r (.f64 r (.f64 w w))) #s(literal -3/2 binary64)))
(*.f64 r #s(literal -1/4 binary64))
r
#s(literal -1/4 binary64)
(.f64 r (.f64 w w))
(*.f64 w w)
w
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
#s(literal 2 binary64)
(*.f64 r r)
#s(literal -3/2 binary64)

localize308.0ms (2%)

Memory

19.4MiB live, 387.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.2%	(/.f64 #s(literal 2 binary64) (*.f64 r r))
✓	accuracy	96.4%	(fma.f64 (.f64 r #s(literal -1/4 binary64)) (.f64 r (.f64 w w)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64)))
✓	accuracy	90.4%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 r #s(literal -1/4 binary64)) (.f64 r (.f64 w w)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64))))
✓	accuracy	87.7%	(.f64 r (.f64 w w))
✓	accuracy	95.7%	(.f64 w (.f64 (*.f64 r r) w))
✓	accuracy	92.0%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w (* (* r r) 3/8)) w) 3/2) (.f64 #s(literal 3/8 binary64) (.f64 w (.f64 (.f64 r r) w))))))
✓	accuracy	85.1%	(.f64 (.f64 r r) w)
✓	accuracy	51.7%	#s(approx (+ (* (* w (* (* r r) 3/8)) w) 3/2) (.f64 #s(literal 3/8 binary64) (.f64 w (.f64 (.f64 r r) w))))
✓	accuracy	95.7%	(.f64 w (.f64 (*.f64 r r) w))
✓	accuracy	90.4%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 #s(literal -1/4 binary64) (.f64 w (.f64 (*.f64 r r) w)) #s(literal -3/2 binary64))))
✓	accuracy	85.1%	(.f64 (.f64 r r) w)
✓	accuracy	58.0%	#s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 #s(literal -1/4 binary64) (.f64 w (.f64 (*.f64 r r) w)) #s(literal -3/2 binary64)))
✓	accuracy	100.0%	(*.f64 r r)
✓	accuracy	100.0%	(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64))
✓	accuracy	99.2%	(/.f64 #s(literal 2 binary64) (*.f64 r r))
✓	accuracy	42.9%	#s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
✓	accuracy	99.8%	(.f64 (.f64 r w) r)
✓	accuracy	99.2%	(/.f64 #s(literal 2 binary64) (*.f64 r r))
✓	accuracy	95.9%	(/.f64 (.f64 (.f64 r w) r) (-.f64 #s(literal 1 binary64) v))
✓	accuracy	93.6%	(fma.f64 (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w) (/.f64 (.f64 (*.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))

Samples

103.0ms	239×	0	valid
6.0ms	8×	2	valid
5.0ms	9×	1	valid

Compiler

Compiled 414 to 57 computations (86.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 86.0ms

ival-mult: 61.0ms (71% of total)

ival-add: 10.0ms (11.6% of total)

ival-sub: 7.0ms (8.1% of total)

ival-div: 5.0ms (5.8% of total)

adjust: 2.0ms (2.3% of total)

exact: 1.0ms (1.2% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series52.0ms (0.3%)

Memory

10.4MiB live, 48.5MiB allocated

Counts

21 → 552

Calls

Call 1

Inputs
#s(alt (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w) (/.f64 (.f64 (.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))) (patch (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w) (/.f64 (.f64 (.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (patch (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 2 binary64) (.f64 r r)) (patch (/.f64 #s(literal 2 binary64) (.f64 r r)) #<representation binary64>) () ())
#s(alt (.f64 r r) (patch (.f64 r r) #<representation binary64>) () ())
#s(alt (-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (.f64 r r))) #s(literal 9/2 binary64)) (patch (-.f64 #s(approx (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (.f64 r r))) (patch #s(approx (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #<representation binary64>) () ())
#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 #s(literal -1/4 binary64) (.f64 w (.f64 (.f64 r r) w)) #s(literal -3/2 binary64)))) (patch #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 #s(literal -1/4 binary64) (.f64 w (.f64 (*.f64 r r) w)) #s(literal -3/2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 #s(literal -1/4 binary64) (.f64 w (.f64 (.f64 r r) w)) #s(literal -3/2 binary64))) (patch #s(approx (+ -3/2 (+ ( (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 #s(literal -1/4 binary64) (.f64 w (.f64 (*.f64 r r) w)) #s(literal -3/2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -1/4 binary64) (.f64 w (.f64 (.f64 r r) w)) #s(literal -3/2 binary64)) (patch (fma.f64 #s(literal -1/4 binary64) (.f64 w (.f64 (.f64 r r) w)) #s(literal -3/2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 w (.f64 (.f64 r r) w)) (patch (.f64 w (.f64 (.f64 r r) w)) #<representation binary64>) () ())
#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w (* (* r r) 3/8)) w) 3/2) (.f64 #s(literal 3/8 binary64) (.f64 w (.f64 (.f64 r r) w)))))) (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w (* (* r r) 3/8)) w) 3/2) (.f64 #s(literal 3/8 binary64) (.f64 w (.f64 (.f64 r r) w)))))) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w (* (* r r) 3/8)) w) 3/2) (.f64 #s(literal 3/8 binary64) (.f64 w (.f64 (.f64 r r) w))))) (patch (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w (* (* r r) 3/8)) w) 3/2) (.f64 #s(literal 3/8 binary64) (.f64 w (.f64 (.f64 r r) w))))) #<representation binary64>) () ())
#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 r #s(literal -1/4 binary64)) (.f64 r (.f64 w w)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64)))) (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 r #s(literal -1/4 binary64)) (.f64 r (.f64 w w)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 r #s(literal -1/4 binary64)) (.f64 r (.f64 w w)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64))) (patch (fma.f64 (.f64 r #s(literal -1/4 binary64)) (.f64 r (.f64 w w)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 r #s(literal -1/4 binary64)) (patch (.f64 r #s(literal -1/4 binary64)) #<representation binary64>) () ())
#s(alt (.f64 r (.f64 w w)) (patch (.f64 r (.f64 w w)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w) (/.f64 (.f64 (.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)) (patch (fma.f64 (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w) (/.f64 (.f64 (.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (.f64 (.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 r w) r) (patch (.f64 (.f64 r w) r) #<representation binary64>) () ())
#s(alt (.f64 (.f64 r r) w) (patch (.f64 (.f64 r r) w) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* w (* (* r r) 3/8)) w) 3/2) (.f64 #s(literal 3/8 binary64) (.f64 w (.f64 (.f64 r r) w)))) (patch #s(approx (+ (* (* w (* (* r r) 3/8)) w) 3/2) (.f64 #s(literal 3/8 binary64) (.f64 w (.f64 (.f64 r r) w)))) #<representation binary64>) () ())

Outputs
#s(alt (/ 2 (pow r 2)) (taylor 0 r) (#s(alt (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w) (/.f64 (.f64 (.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))) (patch (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w) (/.f64 (.f64 (.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) (taylor 0 r) (#s(alt (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w) (/.f64 (.f64 (.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))) (patch (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w) (/.f64 (.f64 (.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* (pow r 2) (- (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) 3/2))) (pow r 2)) (taylor 0 r) (#s(alt (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w) (/.f64 (.f64 (.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))) (patch (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w) (/.f64 (.f64 (.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* (pow r 2) w) (taylor 0 w) (#s(alt (.f64 (.f64 r r) w) (patch (.f64 (.f64 r r) w) #<representation binary64>) () ())) ())
#s(alt (* (pow r 2) w) (taylor inf w) (#s(alt (.f64 (.f64 r r) w) (patch (.f64 (.f64 r r) w) #<representation binary64>) () ())) ())
#s(alt (* (pow r 2) w) (taylor inf w) (#s(alt (.f64 (.f64 r r) w) (patch (.f64 (.f64 r r) w) #<representation binary64>) () ())) ())
#s(alt (* (pow r 2) w) (taylor inf w) (#s(alt (.f64 (.f64 r r) w) (patch (.f64 (.f64 r r) w) #<representation binary64>) () ())) ())
#s(alt (* (pow r 2) w) (taylor inf w) (#s(alt (.f64 (.f64 r r) w) (patch (.f64 (.f64 r r) w) #<representation binary64>) () ())) ())
#s(alt (* (pow r 2) w) (taylor -inf w) (#s(alt (.f64 (.f64 r r) w) (patch (.f64 (.f64 r r) w) #<representation binary64>) () ())) ())
#s(alt (* (pow r 2) w) (taylor -inf w) (#s(alt (.f64 (.f64 r r) w) (patch (.f64 (.f64 r r) w) #<representation binary64>) () ())) ())
#s(alt (* (pow r 2) w) (taylor -inf w) (#s(alt (.f64 (.f64 r r) w) (patch (.f64 (.f64 r r) w) #<representation binary64>) () ())) ())
#s(alt (* (pow r 2) w) (taylor -inf w) (#s(alt (.f64 (.f64 r r) w) (patch (.f64 (.f64 r r) w) #<representation binary64>) () ())) ())
#s(alt 3/2 (taylor 0 w) (#s(alt #s(approx (+ (* (* w (* (* r r) 3/8)) w) 3/2) (.f64 #s(literal 3/8 binary64) (.f64 w (.f64 (.f64 r r) w)))) (patch #s(approx (+ (* (* w (* (* r r) 3/8)) w) 3/2) (.f64 #s(literal 3/8 binary64) (.f64 w (.f64 (.f64 r r) w)))) #<representation binary64>) () ())) ())
#s(alt (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))) (taylor 0 w) (#s(alt #s(approx (+ (* (* w (* (* r r) 3/8)) w) 3/2) (.f64 #s(literal 3/8 binary64) (.f64 w (.f64 (.f64 r r) w)))) (patch #s(approx (+ (* (* w (* (* r r) 3/8)) w) 3/2) (.f64 #s(literal 3/8 binary64) (.f64 w (.f64 (.f64 r r) w)))) #<representation binary64>) () ())) ())
#s(alt (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))) (taylor 0 w) (#s(alt #s(approx (+ (* (* w (* (* r r) 3/8)) w) 3/2) (.f64 #s(literal 3/8 binary64) (.f64 w (.f64 (.f64 r r) w)))) (patch #s(approx (+ (* (* w (* (* r r) 3/8)) w) 3/2) (.f64 #s(literal 3/8 binary64) (.f64 w (.f64 (.f64 r r) w)))) #<representation binary64>) () ())) ())
#s(alt (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))) (taylor 0 w) (#s(alt #s(approx (+ (* (* w (* (* r r) 3/8)) w) 3/2) (.f64 #s(literal 3/8 binary64) (.f64 w (.f64 (.f64 r r) w)))) (patch #s(approx (+ (* (* w (* (* r r) 3/8)) w) 3/2) (.f64 #s(literal 3/8 binary64) (.f64 w (.f64 (.f64 r r) w)))) #<representation binary64>) () ())) ())
#s(alt (* 3/8 (* (pow r 2) (pow w 2))) (taylor inf w) (#s(alt #s(approx (+ (* (* w (* (* r r) 3/8)) w) 3/2) (.f64 #s(literal 3/8 binary64) (.f64 w (.f64 (.f64 r r) w)))) (patch #s(approx (+ (* (* w (* (* r r) 3/8)) w) 3/2) (.f64 #s(literal 3/8 binary64) (.f64 w (.f64 (.f64 r r) w)))) #<representation binary64>) () ())) ())
#s(alt (* (pow w 2) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) (taylor inf w) (#s(alt #s(approx (+ (* (* w (* (* r r) 3/8)) w) 3/2) (.f64 #s(literal 3/8 binary64) (.f64 w (.f64 (.f64 r r) w)))) (patch #s(approx (+ (* (* w (* (* r r) 3/8)) w) 3/2) (.f64 #s(literal 3/8 binary64) (.f64 w (.f64 (.f64 r r) w)))) #<representation binary64>) () ())) ())
#s(alt (* (pow w 2) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) (taylor inf w) (#s(alt #s(approx (+ (* (* w (* (* r r) 3/8)) w) 3/2) (.f64 #s(literal 3/8 binary64) (.f64 w (.f64 (.f64 r r) w)))) (patch #s(approx (+ (* (* w (* (* r r) 3/8)) w) 3/2) (.f64 #s(literal 3/8 binary64) (.f64 w (.f64 (.f64 r r) w)))) #<representation binary64>) () ())) ())
#s(alt (* (pow w 2) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) (taylor inf w) (#s(alt #s(approx (+ (* (* w (* (* r r) 3/8)) w) 3/2) (.f64 #s(literal 3/8 binary64) (.f64 w (.f64 (.f64 r r) w)))) (patch #s(approx (+ (* (* w (* (* r r) 3/8)) w) 3/2) (.f64 #s(literal 3/8 binary64) (.f64 w (.f64 (.f64 r r) w)))) #<representation binary64>) () ())) ())
#s(alt (* 3/8 (* (pow r 2) (pow w 2))) (taylor -inf w) (#s(alt #s(approx (+ (* (* w (* (* r r) 3/8)) w) 3/2) (.f64 #s(literal 3/8 binary64) (.f64 w (.f64 (.f64 r r) w)))) (patch #s(approx (+ (* (* w (* (* r r) 3/8)) w) 3/2) (.f64 #s(literal 3/8 binary64) (.f64 w (.f64 (.f64 r r) w)))) #<representation binary64>) () ())) ())
#s(alt (* (pow w 2) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) (taylor -inf w) (#s(alt #s(approx (+ (* (* w (* (* r r) 3/8)) w) 3/2) (.f64 #s(literal 3/8 binary64) (.f64 w (.f64 (.f64 r r) w)))) (patch #s(approx (+ (* (* w (* (* r r) 3/8)) w) 3/2) (.f64 #s(literal 3/8 binary64) (.f64 w (.f64 (.f64 r r) w)))) #<representation binary64>) () ())) ())
#s(alt (* (pow w 2) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) (taylor -inf w) (#s(alt #s(approx (+ (* (* w (* (* r r) 3/8)) w) 3/2) (.f64 #s(literal 3/8 binary64) (.f64 w (.f64 (.f64 r r) w)))) (patch #s(approx (+ (* (* w (* (* r r) 3/8)) w) 3/2) (.f64 #s(literal 3/8 binary64) (.f64 w (.f64 (.f64 r r) w)))) #<representation binary64>) () ())) ())
#s(alt (* (pow w 2) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) (taylor -inf w) (#s(alt #s(approx (+ (* (* w (* (* r r) 3/8)) w) 3/2) (.f64 #s(literal 3/8 binary64) (.f64 w (.f64 (.f64 r r) w)))) (patch #s(approx (+ (* (* w (* (* r r) 3/8)) w) 3/2) (.f64 #s(literal 3/8 binary64) (.f64 w (.f64 (.f64 r r) w)))) #<representation binary64>) () ())) ())
#s(alt 3/2 (taylor 0 r) (#s(alt #s(approx (+ (* (* w (* (* r r) 3/8)) w) 3/2) (.f64 #s(literal 3/8 binary64) (.f64 w (.f64 (.f64 r r) w)))) (patch #s(approx (+ (* (* w (* (* r r) 3/8)) w) 3/2) (.f64 #s(literal 3/8 binary64) (.f64 w (.f64 (.f64 r r) w)))) #<representation binary64>) () ())) ())
#s(alt (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))) (taylor 0 r) (#s(alt #s(approx (+ (* (* w (* (* r r) 3/8)) w) 3/2) (.f64 #s(literal 3/8 binary64) (.f64 w (.f64 (.f64 r r) w)))) (patch #s(approx (+ (* (* w (* (* r r) 3/8)) w) 3/2) (.f64 #s(literal 3/8 binary64) (.f64 w (.f64 (.f64 r r) w)))) #<representation binary64>) () ())) ())
#s(alt (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))) (taylor 0 r) (#s(alt #s(approx (+ (* (* w (* (* r r) 3/8)) w) 3/2) (.f64 #s(literal 3/8 binary64) (.f64 w (.f64 (.f64 r r) w)))) (patch #s(approx (+ (* (* w (* (* r r) 3/8)) w) 3/2) (.f64 #s(literal 3/8 binary64) (.f64 w (.f64 (.f64 r r) w)))) #<representation binary64>) () ())) ())
#s(alt (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))) (taylor 0 r) (#s(alt #s(approx (+ (* (* w (* (* r r) 3/8)) w) 3/2) (.f64 #s(literal 3/8 binary64) (.f64 w (.f64 (.f64 r r) w)))) (patch #s(approx (+ (* (* w (* (* r r) 3/8)) w) 3/2) (.f64 #s(literal 3/8 binary64) (.f64 w (.f64 (.f64 r r) w)))) #<representation binary64>) () ())) ())
#s(alt (* 3/8 (* (pow r 2) (pow w 2))) (taylor inf r) (#s(alt #s(approx (+ (* (* w (* (* r r) 3/8)) w) 3/2) (.f64 #s(literal 3/8 binary64) (.f64 w (.f64 (.f64 r r) w)))) (patch #s(approx (+ (* (* w (* (* r r) 3/8)) w) 3/2) (.f64 #s(literal 3/8 binary64) (.f64 w (.f64 (.f64 r r) w)))) #<representation binary64>) () ())) ())
#s(alt (* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))) (taylor inf r) (#s(alt #s(approx (+ (* (* w (* (* r r) 3/8)) w) 3/2) (.f64 #s(literal 3/8 binary64) (.f64 w (.f64 (.f64 r r) w)))) (patch #s(approx (+ (* (* w (* (* r r) 3/8)) w) 3/2) (.f64 #s(literal 3/8 binary64) (.f64 w (.f64 (.f64 r r) w)))) #<representation binary64>) () ())) ())
#s(alt (* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))) (taylor inf r) (#s(alt #s(approx (+ (* (* w (* (* r r) 3/8)) w) 3/2) (.f64 #s(literal 3/8 binary64) (.f64 w (.f64 (.f64 r r) w)))) (patch #s(approx (+ (* (* w (* (* r r) 3/8)) w) 3/2) (.f64 #s(literal 3/8 binary64) (.f64 w (.f64 (.f64 r r) w)))) #<representation binary64>) () ())) ())
#s(alt (* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))) (taylor inf r) (#s(alt #s(approx (+ (* (* w (* (* r r) 3/8)) w) 3/2) (.f64 #s(literal 3/8 binary64) (.f64 w (.f64 (.f64 r r) w)))) (patch #s(approx (+ (* (* w (* (* r r) 3/8)) w) 3/2) (.f64 #s(literal 3/8 binary64) (.f64 w (.f64 (.f64 r r) w)))) #<representation binary64>) () ())) ())
#s(alt (* 3/8 (* (pow r 2) (pow w 2))) (taylor -inf r) (#s(alt #s(approx (+ (* (* w (* (* r r) 3/8)) w) 3/2) (.f64 #s(literal 3/8 binary64) (.f64 w (.f64 (.f64 r r) w)))) (patch #s(approx (+ (* (* w (* (* r r) 3/8)) w) 3/2) (.f64 #s(literal 3/8 binary64) (.f64 w (.f64 (.f64 r r) w)))) #<representation binary64>) () ())) ())
#s(alt (* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))) (taylor -inf r) (#s(alt #s(approx (+ (* (* w (* (* r r) 3/8)) w) 3/2) (.f64 #s(literal 3/8 binary64) (.f64 w (.f64 (.f64 r r) w)))) (patch #s(approx (+ (* (* w (* (* r r) 3/8)) w) 3/2) (.f64 #s(literal 3/8 binary64) (.f64 w (.f64 (.f64 r r) w)))) #<representation binary64>) () ())) ())
#s(alt (* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))) (taylor -inf r) (#s(alt #s(approx (+ (* (* w (* (* r r) 3/8)) w) 3/2) (.f64 #s(literal 3/8 binary64) (.f64 w (.f64 (.f64 r r) w)))) (patch #s(approx (+ (* (* w (* (* r r) 3/8)) w) 3/2) (.f64 #s(literal 3/8 binary64) (.f64 w (.f64 (.f64 r r) w)))) #<representation binary64>) () ())) ())
#s(alt (* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))) (taylor -inf r) (#s(alt #s(approx (+ (* (* w (* (* r r) 3/8)) w) 3/2) (.f64 #s(literal 3/8 binary64) (.f64 w (.f64 (.f64 r r) w)))) (patch #s(approx (+ (* (* w (* (* r r) 3/8)) w) 3/2) (.f64 #s(literal 3/8 binary64) (.f64 w (.f64 (.f64 r r) w)))) #<representation binary64>) () ())) ())

Calls

138 calls:

Time	Variable		Point	Expression
16.0ms	w	@	-inf	(- (+ 3 (/ 2 (* r r))) (+ (* (* (+ (* v -1/4) 3/8) w) (/ (* (* r w) r) (- 1 v))) 9/2))
1.0ms	v	@	inf	(- (+ 3 (/ 2 (* r r))) (+ (* (* (+ (* v -1/4) 3/8) w) (/ (* (* r w) r) (- 1 v))) 9/2))
1.0ms	v	@	-inf	(- (+ 3 (/ 2 (* r r))) (+ (* (* (+ (* v -1/4) 3/8) w) (/ (* (* r w) r) (- 1 v))) 9/2))
1.0ms	w	@	0	(- (+ 3 (/ 2 (* r r))) (+ (* (* (+ (* v -1/4) 3/8) w) (/ (* (* r w) r) (- 1 v))) 9/2))
1.0ms	v	@	0	(- (+ 3 (/ 2 (* r r))) (+ (* (* (+ (* v -1/4) 3/8) w) (/ (* (* r w) r) (- 1 v))) 9/2))

simplify600.0ms (3.9%)

Memory

-15.6MiB live, 860.8MiB allocated

Algorithm

1×	egg-herbie

Rules

18 942×	`lower-fma.f64`
18 942×	`lower-fma.f32`
5 388×	`lower-*.f64`
5 388×	`lower-*.f32`
3 484×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	386	10340
1	1292	9900
2	4525	9417
0	8378	8801

Stop Event

1×	iter limit
1×	node limit

Counts

552 → 552

Calls

Call 1

Inputs
(/ 2 (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) 3/2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) 3/2))) (pow r 2))
(* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)))
(* -1 (* (pow r 2) (+ (* 3/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 3/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 3/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))
(* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)))
(* -1 (* (pow r 2) (+ (* 3/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 3/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 3/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -3/8 (* (pow r 2) (pow w 2))) (* -1/4 (* (pow r 2) (pow w 2)))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (+ (* -1 (* v (- (* -1/4 (* (pow r 2) (pow w 2))) (* -3/8 (* (pow r 2) (pow w 2)))))) (* -3/8 (* (pow r 2) (pow w 2)))) (* -1/4 (* (pow r 2) (pow w 2)))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* v (+ (* -1 (* v (- (* -1/4 (* (pow r 2) (pow w 2))) (* -3/8 (* (pow r 2) (pow w 2)))))) (* -1 (- (* -1/4 (* (pow r 2) (pow w 2))) (* -3/8 (* (pow r 2) (pow w 2)))))))) (* -1/4 (* (pow r 2) (pow w 2)))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1/4 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))
(- (+ (* -1 (/ (- (* -3/8 (* (pow r 2) (pow w 2))) (* -1/4 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* -1/4 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2))))) (+ 3/2 (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))
(- (+ (* -1 (/ (- (* -3/8 (* (pow r 2) (pow w 2))) (* -1/4 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* -1 (/ (- (* -3/8 (* (pow r 2) (pow w 2))) (* -1/4 (* (pow r 2) (pow w 2)))) (pow v 3))) (+ (* -1/4 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2)))))) (+ 3/2 (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1 (/ (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 3/8 (* (pow r 2) (pow w 2))) (* 1/4 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2)))) v)) (* 3/8 (* (pow r 2) (pow w 2)))) (* 1/4 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(- (* 2 (/ 1 (pow r 2))) 3/2)
(- (+ (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)
(- (+ (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)
(- (+ (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)
(* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 3/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 3/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 3/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))
(* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 3/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 3/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 3/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))
(/ 2 (pow r 2))
(/ (+ 2 (* 3 (pow r 2))) (pow r 2))
(/ (+ 2 (* 3 (pow r 2))) (pow r 2))
(/ (+ 2 (* 3 (pow r 2))) (pow r 2))
3
(+ 3 (* 2 (/ 1 (pow r 2))))
(+ 3 (* 2 (/ 1 (pow r 2))))
(+ 3 (* 2 (/ 1 (pow r 2))))
3
(+ 3 (* 2 (/ 1 (pow r 2))))
(+ 3 (* 2 (/ 1 (pow r 2))))
(+ 3 (* 2 (/ 1 (pow r 2))))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(/ 2 (pow r 2))
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(pow r 2)
(/ 2 (pow r 2))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(- (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
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(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
(* (pow r 2) w)
3/2
(+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))
(+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))
(+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))
(* 3/8 (* (pow r 2) (pow w 2)))
(* (pow w 2) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))
(* 3/8 (* (pow r 2) (pow w 2)))
(* (pow w 2) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))
(* (pow w 2) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))
3/2
(+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))
(+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))
(+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))
(* 3/8 (* (pow r 2) (pow w 2)))
(* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(* 3/8 (* (pow r 2) (pow w 2)))
(* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))

Outputs
(/ 2 (pow r 2))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/.f64 (fma.f64 r (.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (.f64 r r))
(/ (+ 2 (* (pow r 2) (- (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) 3/2))) (pow r 2))
(/.f64 (fma.f64 (.f64 r r) (fma.f64 (.f64 r r) (.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (neg.f64 (.f64 w w))) #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r))
(/ (+ 2 (* (pow r 2) (- (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) 3/2))) (pow r 2))
(/.f64 (fma.f64 (.f64 r r) (fma.f64 (.f64 r r) (.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (neg.f64 (.f64 w w))) #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 r r))
(* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)))
(/.f64 (.f64 (.f64 r r) (.f64 w (.f64 w (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) v)))
(* -1 (* (pow r 2) (+ (* 3/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))
(fma.f64 (.f64 r r) (.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (neg.f64 (*.f64 w w))) #s(literal -3/2 binary64))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 3/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))
(-.f64 (.f64 (.f64 r r) (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64)))) (fma.f64 (.f64 r r) (/.f64 (.f64 w (*.f64 w (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)))) (-.f64 #s(literal 1 binary64) v)) #s(literal 3/2 binary64)))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 3/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))
(-.f64 (.f64 (.f64 r r) (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64)))) (fma.f64 (.f64 r r) (/.f64 (.f64 w (*.f64 w (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)))) (-.f64 #s(literal 1 binary64) v)) #s(literal 3/2 binary64)))
(* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)))
(/.f64 (.f64 (.f64 r r) (.f64 w (.f64 w (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) v)))
(* -1 (* (pow r 2) (+ (* 3/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))
(fma.f64 (.f64 r r) (.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (neg.f64 (*.f64 w w))) #s(literal -3/2 binary64))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 3/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))
(-.f64 (.f64 (.f64 r r) (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64)))) (fma.f64 (.f64 r r) (/.f64 (.f64 w (*.f64 w (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)))) (-.f64 #s(literal 1 binary64) v)) #s(literal 3/2 binary64)))
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 3/2 (/ 1 (pow r 2))) (/ (* (pow w 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))
(-.f64 (.f64 (.f64 r r) (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64)))) (fma.f64 (.f64 r r) (/.f64 (.f64 w (*.f64 w (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)))) (-.f64 #s(literal 1 binary64) v)) #s(literal 3/2 binary64)))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(+.f64 #s(literal -3/2 binary64) (fma.f64 (.f64 (.f64 (.f64 r r) #s(literal -3/8 binary64)) w) w (/.f64 #s(literal 2 binary64) (.f64 r r))))
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -3/8 (* (pow r 2) (pow w 2))) (* -1/4 (* (pow r 2) (pow w 2)))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 v (.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal -1/8 binary64))) (fma.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal -3/8 binary64)) #s(literal -3/2 binary64))))
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (+ (* -1 (* v (- (* -1/4 (* (pow r 2) (pow w 2))) (* -3/8 (* (pow r 2) (pow w 2)))))) (* -3/8 (* (pow r 2) (pow w 2)))) (* -1/4 (* (pow r 2) (pow w 2)))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 v (.f64 (.f64 r (.f64 r (.f64 w w))) (fma.f64 v #s(literal -1/8 binary64) #s(literal -1/8 binary64))) (fma.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal -3/8 binary64)) #s(literal -3/2 binary64))))
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* v (+ (* -1 (* v (- (* -1/4 (* (pow r 2) (pow w 2))) (* -3/8 (* (pow r 2) (pow w 2)))))) (* -1 (- (* -1/4 (* (pow r 2) (pow w 2))) (* -3/8 (* (pow r 2) (pow w 2)))))))) (* -1/4 (* (pow r 2) (pow w 2)))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2)))))
(fma.f64 v (fma.f64 v (.f64 (.f64 r (.f64 r (.f64 w w))) (fma.f64 v #s(literal -1/8 binary64) #s(literal -1/8 binary64))) (.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal -1/8 binary64)))) (+.f64 #s(literal -3/2 binary64) (fma.f64 (.f64 (.f64 (.f64 r r) #s(literal -3/8 binary64)) w) w (/.f64 #s(literal 2 binary64) (.f64 r r)))))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 w w) (.f64 (.f64 r r) #s(literal -1/4 binary64)) #s(literal -3/2 binary64)))
(- (+ (* -1/4 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))
(+.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 w w) (/.f64 (.f64 r r) v)) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 #s(literal 3/8 binary64) (.f64 (.f64 w w) (/.f64 (.f64 r r) v)) (fma.f64 (.f64 w w) (.f64 (.f64 r r) #s(literal -1/4 binary64)) #s(literal -3/2 binary64))))
(- (+ (* -1 (/ (- (* -3/8 (* (pow r 2) (pow w 2))) (* -1/4 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* -1/4 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2))))) (+ 3/2 (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))
(+.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 w w) (/.f64 (.f64 r r) v)) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 (.f64 r (.f64 r (.f64 w w))) (/.f64 #s(literal 1/8 binary64) (.f64 v v)) (fma.f64 #s(literal 3/8 binary64) (.f64 (.f64 w w) (/.f64 (.f64 r r) v)) (fma.f64 (.f64 w w) (.f64 (.f64 r r) #s(literal -1/4 binary64)) #s(literal -3/2 binary64)))))
(- (+ (* -1 (/ (- (* -3/8 (* (pow r 2) (pow w 2))) (* -1/4 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* -1 (/ (- (* -3/8 (* (pow r 2) (pow w 2))) (* -1/4 (* (pow r 2) (pow w 2)))) (pow v 3))) (+ (* -1/4 (/ (* (pow r 2) (pow w 2)) v)) (* 2 (/ 1 (pow r 2)))))) (+ 3/2 (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2))))))
(+.f64 (neg.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (fma.f64 (.f64 r r) (/.f64 (.f64 w w) v) (.f64 r (.f64 r (.f64 w w))))) (.f64 v v))) (+.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 w w) (/.f64 (.f64 r r) v)) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 #s(literal 3/8 binary64) (.f64 (.f64 w w) (/.f64 (.f64 r r) v)) (fma.f64 (.f64 w w) (.f64 (*.f64 r r) #s(literal -1/4 binary64)) #s(literal -3/2 binary64)))))
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 w w) (.f64 (.f64 r r) #s(literal -1/4 binary64)) #s(literal -3/2 binary64)))
(- (+ (* -1 (/ (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(+.f64 (fma.f64 (.f64 r (.f64 r (.f64 w w))) (/.f64 #s(literal 1/8 binary64) v) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 (.f64 w w) (.f64 (*.f64 r r) #s(literal -1/4 binary64)) #s(literal -3/2 binary64)))
(- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 3/8 (* (pow r 2) (pow w 2))) (* 1/4 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 #s(literal -1/8 binary64) (.f64 (neg.f64 (.f64 r r)) (fma.f64 w (/.f64 w v) (/.f64 (.f64 w w) (.f64 v v)))) (fma.f64 (.f64 w w) (.f64 (.f64 r r) #s(literal -1/4 binary64)) #s(literal -3/2 binary64))))
(- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (* (pow r 2) (pow w 2))) (* 3/8 (* (pow r 2) (pow w 2)))) v)) (* 3/8 (* (pow r 2) (pow w 2)))) (* 1/4 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2)))))
(+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 w w) (.f64 (.f64 r r) #s(literal -1/4 binary64)) #s(literal -3/2 binary64))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (neg.f64 (.f64 r r)) (fma.f64 w (/.f64 w v) (/.f64 (.f64 w w) (.f64 v v)))) (.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal 1/8 binary64)))) v))
(- (* 2 (/ 1 (pow r 2))) 3/2)
(+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(- (+ (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)
(fma.f64 (.f64 (.f64 w w) (neg.f64 (.f64 r r))) (/.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))))
(- (+ (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)
(fma.f64 (.f64 (.f64 w w) (neg.f64 (.f64 r r))) (/.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))))
(- (+ (* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2)
(fma.f64 (.f64 (.f64 w w) (neg.f64 (.f64 r r))) (/.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))))
(* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)))
(/.f64 (.f64 (.f64 r r) (.f64 w (.f64 w (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) v)))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 3/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))
(fma.f64 (.f64 w w) (/.f64 #s(literal 2 binary64) (.f64 r (.f64 r (.f64 w w)))) (fma.f64 (.f64 r r) (.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (neg.f64 (*.f64 w w))) #s(literal -3/2 binary64)))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 3/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))
(fma.f64 (.f64 w w) (/.f64 #s(literal 2 binary64) (.f64 r (.f64 r (.f64 w w)))) (fma.f64 (.f64 r r) (.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (neg.f64 (*.f64 w w))) #s(literal -3/2 binary64)))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 3/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))
(fma.f64 (.f64 w w) (/.f64 #s(literal 2 binary64) (.f64 r (.f64 r (.f64 w w)))) (fma.f64 (.f64 r r) (.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (neg.f64 (*.f64 w w))) #s(literal -3/2 binary64)))
(* -1 (/ (* (pow r 2) (* (pow w 2) (+ 3/8 (* -1/4 v)))) (- 1 v)))
(/.f64 (.f64 (.f64 r r) (.f64 w (.f64 w (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) v)))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 3/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))
(fma.f64 (.f64 w w) (/.f64 #s(literal 2 binary64) (.f64 r (.f64 r (.f64 w w)))) (fma.f64 (.f64 r r) (.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (neg.f64 (*.f64 w w))) #s(literal -3/2 binary64)))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 3/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))
(fma.f64 (.f64 w w) (/.f64 #s(literal 2 binary64) (.f64 r (.f64 r (.f64 w w)))) (fma.f64 (.f64 r r) (.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (neg.f64 (*.f64 w w))) #s(literal -3/2 binary64)))
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 3/2 (/ 1 (pow w 2))) (/ (* (pow r 2) (+ 3/8 (* -1/4 v))) (- 1 v)))))
(fma.f64 (.f64 w w) (/.f64 #s(literal 2 binary64) (.f64 r (.f64 r (.f64 w w)))) (fma.f64 (.f64 r r) (.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (neg.f64 (*.f64 w w))) #s(literal -3/2 binary64)))
(/ 2 (pow r 2))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/ (+ 2 (* 3 (pow r 2))) (pow r 2))
(/.f64 (fma.f64 r (.f64 r #s(literal 3 binary64)) #s(literal 2 binary64)) (.f64 r r))
(/ (+ 2 (* 3 (pow r 2))) (pow r 2))
(/.f64 (fma.f64 r (.f64 r #s(literal 3 binary64)) #s(literal 2 binary64)) (.f64 r r))
(/ (+ 2 (* 3 (pow r 2))) (pow r 2))
(/.f64 (fma.f64 r (.f64 r #s(literal 3 binary64)) #s(literal 2 binary64)) (.f64 r r))
3
#s(literal 3 binary64)
(+ 3 (* 2 (/ 1 (pow r 2))))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))
(+ 3 (* 2 (/ 1 (pow r 2))))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))
(+ 3 (* 2 (/ 1 (pow r 2))))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))
3
#s(literal 3 binary64)
(+ 3 (* 2 (/ 1 (pow r 2))))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))
(+ 3 (* 2 (/ 1 (pow r 2))))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))
(+ 3 (* 2 (/ 1 (pow r 2))))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))
(/ 2 (pow r 2))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/ 2 (pow r 2))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/ 2 (pow r 2))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/ 2 (pow r 2))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/ 2 (pow r 2))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/ 2 (pow r 2))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/ 2 (pow r 2))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/ 2 (pow r 2))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/ 2 (pow r 2))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/ 2 (pow r 2))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/ 2 (pow r 2))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/ 2 (pow r 2))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(pow r 2)
(*.f64 r r)
(pow r 2)
(*.f64 r r)
(pow r 2)
(*.f64 r r)
(pow r 2)
(*.f64 r r)
(pow r 2)
(*.f64 r r)
(pow r 2)
(*.f64 r r)
(pow r 2)
(*.f64 r r)
(pow r 2)
(*.f64 r r)
(pow r 2)
(*.f64 r r)
(pow r 2)
(*.f64 r r)
(pow r 2)
(*.f64 r r)
(pow r 2)
(*.f64 r r)
(/ 2 (pow r 2))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2))
(/.f64 (fma.f64 r (.f64 r #s(literal -3/2 binary64)) #s(literal 2 binary64)) (.f64 r r))
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2))
(/.f64 (fma.f64 (.f64 r r) (fma.f64 (.f64 r r) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 w w)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))) #s(literal -3/2 binary64)) #s(literal 2 binary64)) (.f64 r r))
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(fma.f64 r (.f64 r (.f64 (*.f64 w w) #s(literal 3/8 binary64))) #s(literal 3/2 binary64))
(* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(fma.f64 r (.f64 r (.f64 (*.f64 w w) #s(literal 3/8 binary64))) #s(literal 3/2 binary64))
(* (pow r 2) (+ (* 3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2)))))
(fma.f64 r (.f64 r (.f64 (*.f64 w w) #s(literal 3/8 binary64))) #s(literal 3/2 binary64))

rewrite379.0ms (2.5%)

Memory

11.9MiB live, 609.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 568×	`lower-fma.f32`
4 560×	`lower-fma.f64`
4 024×	`lower-*.f32`
4 004×	`lower-*.f64`
3 716×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	422
0	92	420
1	410	380
2	3416	380
0	8396	356

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

21 → 388

Calls

Call 1

Inputs
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w) (/.f64 (.f64 (.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)))
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
(/.f64 #s(literal 2 binary64) (*.f64 r r))
(*.f64 r r)
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64))
#s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 #s(literal -1/4 binary64) (.f64 w (.f64 (*.f64 r r) w)) #s(literal -3/2 binary64))))
#s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 #s(literal -1/4 binary64) (.f64 w (.f64 (*.f64 r r) w)) #s(literal -3/2 binary64)))
(fma.f64 #s(literal -1/4 binary64) (.f64 w (.f64 (*.f64 r r) w)) #s(literal -3/2 binary64))
(.f64 w (.f64 (*.f64 r r) w))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w (* (* r r) 3/8)) w) 3/2) (.f64 #s(literal 3/8 binary64) (.f64 w (.f64 (.f64 r r) w))))))
(-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w (* (* r r) 3/8)) w) 3/2) (.f64 #s(literal 3/8 binary64) (.f64 w (.f64 (.f64 r r) w)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 r #s(literal -1/4 binary64)) (.f64 r (.f64 w w)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64))))
(fma.f64 (.f64 r #s(literal -1/4 binary64)) (.f64 r (.f64 w w)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64)))
(*.f64 r #s(literal -1/4 binary64))
(.f64 r (.f64 w w))
(fma.f64 (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w) (/.f64 (.f64 (*.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))
(/.f64 (.f64 (.f64 r w) r) (-.f64 #s(literal 1 binary64) v))
(.f64 (.f64 r w) r)
(.f64 (.f64 r r) w)
#s(approx (+ (* (* w (* (* r r) 3/8)) w) 3/2) (.f64 #s(literal 3/8 binary64) (.f64 w (.f64 (.f64 r r) w))))

Outputs
(+.f64 #s(literal 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (.f64 r (.f64 r (.f64 w w))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 #s(literal 3 binary64) (neg.f64 (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (.f64 r (.f64 r (.f64 w w))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)))))
(+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (-.f64 #s(literal 3 binary64) (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (.f64 r (.f64 r (.f64 w w))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))))
(+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (neg.f64 (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (.f64 r (.f64 r (.f64 w w))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))))
(+.f64 (neg.f64 (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (.f64 r (.f64 r (.f64 w w))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))))
(+.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (.f64 r (.f64 r (*.f64 w w)))) (-.f64 #s(literal 1 binary64) v))) #s(literal -9/2 binary64))
(+.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (.f64 r (.f64 r (.f64 w w))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))) #s(literal 3 binary64))
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (.f64 r (.f64 r (.f64 w w))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (.f64 r (.f64 r (*.f64 w w)))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
(-.f64 (/.f64 (.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))))) (fma.f64 (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (.f64 r (.f64 r (.f64 w w))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)) (+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (.f64 r (.f64 r (.f64 w w))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))) (.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r)))))) (/.f64 (.f64 (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (.f64 r (.f64 r (.f64 w w))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)) (.f64 (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (.f64 r (.f64 r (.f64 w w))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)) (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (.f64 r (.f64 r (.f64 w w))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)))) (fma.f64 (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (.f64 r (.f64 r (.f64 w w))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)) (+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (.f64 r (.f64 r (.f64 w w))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))) (.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r)))))))
(-.f64 (/.f64 (.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r)))) (+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (.f64 r (.f64 r (.f64 w w))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)))) (/.f64 (.f64 (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (.f64 r (.f64 r (.f64 w w))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)) (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (.f64 r (.f64 r (.f64 w w))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))) (+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (.f64 r (.f64 r (.f64 w w))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)))))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) #s(literal 9/2 binary64)) (/.f64 (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (.f64 r (.f64 r (*.f64 w w)))) (-.f64 #s(literal 1 binary64) v)))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (.f64 r r)) (+.f64 #s(literal 3 binary64) (neg.f64 (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (.f64 r (.f64 r (.f64 w w))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)))))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (.f64 r r)) (-.f64 #s(literal 3 binary64) (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (.f64 r (.f64 r (.f64 w w))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r)) (+.f64 #s(literal 3 binary64) (neg.f64 (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (.f64 r (.f64 r (.f64 w w))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r)) (-.f64 #s(literal 3 binary64) (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (.f64 r (.f64 r (.f64 w w))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))))
(fma.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 r r))) (+.f64 #s(literal 3 binary64) (neg.f64 (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (.f64 r (.f64 r (.f64 w w))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)))))
(fma.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 r r))) (-.f64 #s(literal 3 binary64) (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (.f64 r (.f64 r (.f64 w w))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))))
(fma.f64 (+.f64 #s(literal 27 binary64) (/.f64 #s(literal 8 binary64) (.f64 (.f64 r r) (.f64 (.f64 r r) (.f64 r r))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3 binary64)) #s(literal 9 binary64))) (neg.f64 (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (.f64 r (.f64 r (.f64 w w))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 r r)) #s(literal 2 binary64) (+.f64 #s(literal 3 binary64) (neg.f64 (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (.f64 r (.f64 r (.f64 w w))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 r r)) #s(literal 2 binary64) (-.f64 #s(literal 3 binary64) (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (.f64 r (.f64 r (.f64 w w))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))))
(fma.f64 (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 4 binary64) (.f64 (.f64 r r) (.f64 r r)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r)))) (neg.f64 (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (.f64 r (.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))))
(fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (+.f64 #s(literal 3 binary64) (neg.f64 (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (.f64 r (.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)))))
(fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal 3 binary64) (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (.f64 r (.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))))
(fma.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (.f64 r (.f64 r (.f64 w w))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))))
(fma.f64 (/.f64 #s(literal 1 binary64) r) (/.f64 #s(literal 2 binary64) r) (+.f64 #s(literal 3 binary64) (neg.f64 (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (.f64 r (.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) r) (/.f64 #s(literal 2 binary64) r) (-.f64 #s(literal 3 binary64) (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (.f64 r (.f64 r (*.f64 w w))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (.f64 r (.f64 r (.f64 w w))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)) (+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (.f64 r (.f64 r (.f64 w w))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))) (.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))))) (-.f64 (.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))))) (.f64 (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (.f64 r (.f64 r (.f64 w w))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)) (.f64 (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (.f64 r (.f64 r (.f64 w w))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)) (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (.f64 r (.f64 r (.f64 w w))) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)))))))
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(pow.f64 (/.f64 (-.f64 (+.f64 (/.f64 (.f64 (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (.f64 r (.f64 r (.f64 w w)))) (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (.f64 r (.f64 r (.f64 w w))))) (.f64 (-.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 1 binary64) v))) #s(literal 81/4 binary64)) (/.f64 (.f64 (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (.f64 r (.f64 r (.f64 w w)))) #s(literal 9/2 binary64)) (-.f64 #s(literal 1 binary64) v))) (fma.f64 (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))) (/.f64 (.f64 (.f64 w (.f64 w w)) (.f64 (.f64 (.f64 r r) w) (.f64 (.f64 (.f64 r r) w) (.f64 (.f64 r r) w)))) (.f64 (-.f64 #s(literal 1 binary64) v) (.f64 (-.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 1 binary64) v)))) #s(literal 729/8 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (.f64 r (.f64 r (.f64 w w))) (-.f64 #s(literal 1 binary64) v)) #s(literal -9/2 binary64)) (+.f64 (/.f64 (.f64 (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (.f64 r (.f64 r (.f64 w w)))) (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (.f64 r (.f64 r (.f64 w w))))) (*.f64 (-.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 1 binary64) v))) #s(literal -81/4 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)))) (/.f64 (.f64 (.f64 w (.f64 w w)) (.f64 (.f64 (.f64 r r) w) (.f64 (.f64 (.f64 r r) w) (.f64 (.f64 r r) w)))) (.f64 (-.f64 #s(literal 1 binary64) v) (.f64 (-.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 1 binary64) v)))) #s(literal 729/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (/.f64 (.f64 (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (.f64 r (.f64 r (.f64 w w)))) (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (.f64 r (.f64 r (.f64 w w))))) (.f64 (-.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 1 binary64) v))) #s(literal 81/4 binary64)) (/.f64 (.f64 (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (.f64 r (.f64 r (*.f64 w w)))) #s(literal 9/2 binary64)) (-.f64 #s(literal 1 binary64) v)))))
(.f64 (+.f64 (/.f64 (.f64 (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (.f64 r (.f64 r (.f64 w w)))) (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (.f64 r (.f64 r (.f64 w w))))) (.f64 (-.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 1 binary64) v))) #s(literal -81/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) (/.f64 (.f64 r (.f64 r (.f64 w w))) (-.f64 #s(literal 1 binary64) v)) #s(literal -9/2 binary64))))
(exp.f64 (.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (.f64 (*.f64 r r) w))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (.f64 (.f64 r r) w) (neg.f64 (-.f64 #s(literal 1 binary64) v))))
(neg.f64 (/.f64 (neg.f64 (.f64 (.f64 r r) w)) (-.f64 #s(literal 1 binary64) v)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) v) (.f64 (.f64 r r) w)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (.f64 (.f64 r r) w)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (.f64 (.f64 r r) w)))))
(/.f64 (.f64 (.f64 r r) w) (-.f64 #s(literal 1 binary64) v))
(/.f64 (neg.f64 (.f64 (.f64 r r) w)) (neg.f64 (-.f64 #s(literal 1 binary64) v)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (.f64 (.f64 r r) w))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (.f64 (.f64 r r) w)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 r r) w))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) v))))
(/.f64 (.f64 (.f64 (*.f64 r r) w) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) v))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (.f64 (.f64 r r) w)))) (neg.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) v)))))
(/.f64 (neg.f64 (.f64 (.f64 (*.f64 r r) w) #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) v)))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (.f64 (.f64 r r) w)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (.f64 (.f64 r r) w)) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 r (.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v))))
(.f64 r (.f64 (*.f64 r w) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v))))
(.f64 r (/.f64 (.f64 r w) (-.f64 #s(literal 1 binary64) v)))
(.f64 (.f64 r r) (*.f64 w (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v))))
(.f64 (.f64 r r) (/.f64 w (-.f64 #s(literal 1 binary64) v)))
(.f64 w (.f64 r (/.f64 r (-.f64 #s(literal 1 binary64) v))))
(.f64 w (.f64 (*.f64 r r) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v))))
(.f64 w (/.f64 (.f64 r r) (-.f64 #s(literal 1 binary64) v)))
(.f64 (.f64 r w) (/.f64 r (-.f64 #s(literal 1 binary64) v)))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 (*.f64 r r) w) (-.f64 #s(literal 1 binary64) v)))
(.f64 (.f64 (*.f64 r r) w) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v)))
(.f64 (neg.f64 (.f64 (*.f64 r r) w)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) v))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v)) (.f64 (*.f64 r r) w))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v)) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 r r) w)) #s(literal -1 binary64)))
(.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (.f64 r w))
(.f64 (/.f64 (.f64 (.f64 r r) w) (-.f64 #s(literal 1 binary64) (.f64 v (*.f64 v v)))) (fma.f64 v (+.f64 v #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (.f64 r r) w) (-.f64 #s(literal 1 binary64) (.f64 v v))) (+.f64 v #s(literal 1 binary64)))
(.f64 r (.f64 r w))
(.f64 (.f64 r r) w)
(.f64 w (.f64 r r))
(.f64 (.f64 r w) r)
(.f64 r (.f64 r w))
(.f64 (.f64 r r) w)
(.f64 w (.f64 r r))
(.f64 (.f64 r w) r)
#s(approx (+ (* (* w (* (* r r) 3/8)) w) 3/2) (.f64 w (.f64 #s(literal 3/8 binary64) (.f64 (.f64 r r) w))))

eval165.0ms (1.1%)

Memory: -2.8MiB live, 354.6MiB allocated
Compiler: Compiled 34 447 to 1 485 computations (95.7% saved)

prune671.0ms (4.4%)

Memory

-201.8MiB live, 600.6MiB allocated

Pruning

25 alts after pruning (21 fresh and 4 done)

	Pruned	Kept	Total
New	1 193	11	1 204
Fresh	3	10	13
Picked	4	1	5
Done	0	3	3
Total	1 200	25	1 225

Accuracy

100.0%

Counts

1 225 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	55.6%	(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (.f64 (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 w (.f64 r w)))) (.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v))))) #s(literal 9/2 binary64))
✓	45.5%	(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64))
	54.9%	(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w) (/.f64 (.f64 (*.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)))
	56.3%	(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (.f64 w (.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)))
	83.2%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 (.f64 r r) (.f64 #s(literal -1/4 binary64) w)) w (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64))))
	87.2%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 r #s(literal -1/4 binary64)) (.f64 (.f64 r w) w) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64))))
✓	42.5%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r))
	32.7%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) (-.f64 (fma.f64 #s(literal 9/64 binary64) (.f64 (.f64 r (.f64 w (.f64 r w))) (.f64 r (.f64 w (.f64 r w)))) #s(literal 9/4 binary64)) (.f64 w (.f64 (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) #s(literal 3/2 binary64))))) (.f64 (.f64 r r) (fma.f64 (.f64 (.f64 w w) (.f64 (.f64 w w) (.f64 w w))) (.f64 (.f64 (.f64 r r) (.f64 (.f64 r r) (.f64 r r))) #s(literal 27/512 binary64)) #s(literal 27/8 binary64)))) (.f64 (.f64 r r) (-.f64 (fma.f64 #s(literal 9/64 binary64) (.f64 (.f64 r (.f64 w (.f64 r w))) (.f64 r (.f64 w (.f64 r w)))) #s(literal 9/4 binary64)) (.f64 w (.f64 (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) #s(literal 3/2 binary64)))))))
✓	42.5%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
	90.6%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 (.f64 w (.f64 r #s(literal 3/8 binary64))) r) w #s(literal 3/2 binary64))))
	89.0%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 r (.f64 w (.f64 r w))) #s(literal 3/8 binary64) #s(literal 3/2 binary64))))
	89.0%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 r #s(literal 3/8 binary64)) (.f64 w (.f64 r w)) #s(literal 3/2 binary64))))
	78.7%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w (* (* r r) 3/8)) w) 3/2) (.f64 #s(literal 3/8 binary64) (.f64 (.f64 r w) (.f64 r w))))))
	77.5%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w (* (* r r) 3/8)) w) 3/2) (.f64 #s(literal 3/8 binary64) (.f64 w (.f64 (.f64 r w) r))))))
	68.2%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w w) (* 3/8 (* r r))) 3/2) (.f64 r (.f64 #s(literal 3/8 binary64) (.f64 r (.f64 w w)))))))
✓	56.8%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w w) (* 3/8 (* r r))) 3/2) #s(literal 3/2 binary64))))
	42.5%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w (* (* r r) 3/8)) w) 3/2)) (fma.f64 (.f64 w (.f64 (*.f64 r r) w)) #s(literal -3/8 binary64) #s(literal -3/2 binary64))))
	33.3%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w (* (* r r) 3/8)) w) 3/2)) (.f64 (.f64 w (.f64 (.f64 r r) w)) #s(literal -3/8 binary64))))
	31.0%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w (* (* r r) 3/8)) w) 3/2)) (.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal -3/8 binary64)))))
	30.7%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* r -1/4) (* r (* w w))) (+ (/ 2 (* r r)) -3/2)) (.f64 (.f64 r r) (.f64 w (.f64 w #s(literal -1/4 binary64))))))
	48.3%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 (.f64 (.f64 r #s(literal -1/4 binary64)) w) (*.f64 r w) #s(literal -3/2 binary64))))
	46.1%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 (.f64 r (.f64 w w)) (*.f64 r #s(literal -1/4 binary64)) #s(literal -3/2 binary64))))
	47.3%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 w (.f64 (.f64 r w) (*.f64 r #s(literal -1/4 binary64))) #s(literal -3/2 binary64))))
	31.8%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (.f64 #s(literal -1/4 binary64) (.f64 w (.f64 (.f64 r r) w)))))
	15.7%	#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) #s(approx (+ (* -1/4 (* w (* (* r r) w))) -3/2) #s(literal -3/2 binary64))))

Compiler

Compiled 1 728 to 505 computations (70.8% saved)

regimes104.0ms (0.7%)

Memory

1.7MiB live, 278.4MiB allocated

Counts

58 → 2

Calls

Call 1

Inputs
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) #s(approx (+ (* -1/4 (* w (* (* r r) w))) -3/2) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w w) (* 3/8 (* r r))) 3/2) #s(literal 3/2 binary64))))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (.f64 #s(literal -1/4 binary64) (.f64 w (.f64 (.f64 r r) w)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* r -1/4) (* r (* w w))) (+ (/ 2 (* r r)) -3/2)) (.f64 (.f64 r r) (.f64 w (.f64 w #s(literal -1/4 binary64))))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w w) (* 3/8 (* r r))) 3/2)) (.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal -3/8 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w (* (* r r) 3/8)) w) 3/2)) (.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal -3/8 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w (* (* r r) 3/8)) w) 3/2)) (.f64 (.f64 w (.f64 (.f64 r r) w)) #s(literal -3/8 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 #s(literal -1/4 binary64) (.f64 w (.f64 (*.f64 r r) w)) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 w (.f64 (.f64 r w) (*.f64 r #s(literal -1/4 binary64))) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 (.f64 r (.f64 w w)) (*.f64 r #s(literal -1/4 binary64)) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 (.f64 (.f64 r #s(literal -1/4 binary64)) w) (*.f64 r w) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w w) (* 3/8 (* r r))) 3/2)) (fma.f64 (.f64 r r) (.f64 (*.f64 w w) #s(literal -3/8 binary64)) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w (* (* r r) 3/8)) w) 3/2)) (fma.f64 (.f64 w (.f64 (*.f64 r r) w)) #s(literal -3/8 binary64) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 (fma.f64 r (.f64 r #s(literal 3 binary64)) #s(literal 2 binary64)) (.f64 r r))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (.f64 (.f64 r r) (.f64 w (.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (fma.f64 (.f64 r r) (.f64 w (*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w w) (* 3/8 (* r r))) 3/2) (.f64 r (.f64 #s(literal 3/8 binary64) (.f64 r (.f64 w w)))))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w (* (* r r) 3/8)) w) 3/2) (.f64 #s(literal 3/8 binary64) (.f64 w (.f64 (.f64 r r) w))))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w (* (* r r) 3/8)) w) 3/2) (.f64 #s(literal 3/8 binary64) (.f64 w (.f64 (.f64 r w) r))))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w (* (* r r) 3/8)) w) 3/2) (.f64 #s(literal 3/8 binary64) (.f64 (.f64 r w) (.f64 r w))))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (.f64 r r)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 r #s(literal 3/8 binary64)) (.f64 w (.f64 r w)) #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 r (.f64 w (.f64 r w))) #s(literal 3/8 binary64) #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 w w) (.f64 #s(literal 3/8 binary64) (.f64 r r)) #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 w w) (.f64 (.f64 r #s(literal 3/8 binary64)) r) #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) w #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 (.f64 w (.f64 r #s(literal 3/8 binary64))) r) w #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -1/4 binary64) (.f64 r (.f64 r (.f64 w w))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 r #s(literal -1/4 binary64)) (.f64 r (.f64 w w)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 r #s(literal -1/4 binary64)) (.f64 (.f64 r w) w) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 w #s(literal -1/4 binary64)) (.f64 r (.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 (.f64 r r) (.f64 #s(literal -1/4 binary64) w)) w (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64))))
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w) (/.f64 (.f64 (*.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (.f64 (.f64 r r) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) v))))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) #s(approx (/ ( (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)) (.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal 1/4 binary64))))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 r (.f64 r (.f64 w w))) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64))))
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (.f64 w (.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 r (.f64 r (.f64 w w))) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal 3 binary64)))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 r (.f64 r (.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64))))
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (.f64 (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 w (.f64 r w)))) (.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v))))) #s(literal 9/2 binary64))
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w) (/.f64 (.f64 (.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)))
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)))
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (/.f64 (.f64 (*.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) w) #s(literal 9/2 binary64)))
(-.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 r (.f64 w (.f64 r w)))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) #s(literal 9/2 binary64))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (.f64 w (.f64 r w))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 w (.f64 w (*.f64 r r)))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 r w) (*.f64 r w))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (.f64 (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 w (.f64 r w)))) (*.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v))))) #s(literal 9/2 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) r) (/.f64 #s(literal 1 binary64) r) (-.f64 #s(literal 3 binary64) (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (.f64 w (.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) v) (.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 r (.f64 w (.f64 r w))))))) #s(literal 9/2 binary64))
(-.f64 (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 r r) (.f64 r r))) #s(literal 9 binary64)) (-.f64 #s(literal 1 binary64) v) (.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3 binary64)) (.f64 #s(literal -1/8 binary64) (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 r (.f64 w (.f64 r w))))))) (.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) (-.f64 (fma.f64 #s(literal 9/64 binary64) (.f64 (.f64 r (.f64 w (.f64 r w))) (.f64 r (.f64 w (.f64 r w)))) #s(literal 9/4 binary64)) (.f64 w (.f64 (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) #s(literal 3/2 binary64))))) (.f64 (.f64 r r) (fma.f64 (.f64 (.f64 w w) (.f64 (.f64 w w) (.f64 w w))) (.f64 (.f64 (.f64 r r) (.f64 (.f64 r r) (.f64 r r))) #s(literal 27/512 binary64)) #s(literal 27/8 binary64)))) (.f64 (.f64 r r) (-.f64 (fma.f64 #s(literal 9/64 binary64) (.f64 (.f64 r (.f64 w (.f64 r w))) (.f64 r (.f64 w (.f64 r w)))) #s(literal 9/4 binary64)) (.f64 w (.f64 (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) #s(literal 3/2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 r (.f64 w (.f64 r w)))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r)))) #s(literal 3 binary64)) #s(literal -729/8 binary64)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 r (.f64 w (.f64 r w)))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 r (.f64 w (.f64 r w)))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r)))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 r (.f64 w (.f64 r w)))) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r)))) #s(literal 9/2 binary64) #s(literal 81/4 binary64))))

Outputs

(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)))

(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) w) #s(literal 9/2 binary64)))

Calls

6 calls:

19.0ms	w
18.0ms	(*.f64 w w)
18.0ms	r
16.0ms	v
14.0ms	(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))

Results

Accuracy	Segments	Branch
97.6%	1	`v`
99.8%	2	`w`
99.8%	2	`r`
97.6%	1	`(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))`
97.6%	1	`(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))`
99.8%	2	`(*.f64 w w)`

Compiler

Compiled 80 to 55 computations (31.3% saved)

regimes88.0ms (0.6%)

Memory

-39.9MiB live, 223.7MiB allocated

Counts

46 → 2

Calls

Call 1

Inputs
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) #s(approx (+ (* -1/4 (* w (* (* r r) w))) -3/2) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w w) (* 3/8 (* r r))) 3/2) #s(literal 3/2 binary64))))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (.f64 #s(literal -1/4 binary64) (.f64 w (.f64 (.f64 r r) w)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* r -1/4) (* r (* w w))) (+ (/ 2 (* r r)) -3/2)) (.f64 (.f64 r r) (.f64 w (.f64 w #s(literal -1/4 binary64))))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w w) (* 3/8 (* r r))) 3/2)) (.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal -3/8 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w (* (* r r) 3/8)) w) 3/2)) (.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal -3/8 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w (* (* r r) 3/8)) w) 3/2)) (.f64 (.f64 w (.f64 (.f64 r r) w)) #s(literal -3/8 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 #s(literal -1/4 binary64) (.f64 w (.f64 (*.f64 r r) w)) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 w (.f64 (.f64 r w) (*.f64 r #s(literal -1/4 binary64))) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 (.f64 r (.f64 w w)) (*.f64 r #s(literal -1/4 binary64)) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 (.f64 (.f64 r #s(literal -1/4 binary64)) w) (*.f64 r w) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w w) (* 3/8 (* r r))) 3/2)) (fma.f64 (.f64 r r) (.f64 (*.f64 w w) #s(literal -3/8 binary64)) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w (* (* r r) 3/8)) w) 3/2)) (fma.f64 (.f64 w (.f64 (*.f64 r r) w)) #s(literal -3/8 binary64) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 (fma.f64 r (.f64 r #s(literal 3 binary64)) #s(literal 2 binary64)) (.f64 r r))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (.f64 (.f64 r r) (.f64 w (.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (fma.f64 (.f64 r r) (.f64 w (*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w w) (* 3/8 (* r r))) 3/2) (.f64 r (.f64 #s(literal 3/8 binary64) (.f64 r (.f64 w w)))))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w (* (* r r) 3/8)) w) 3/2) (.f64 #s(literal 3/8 binary64) (.f64 w (.f64 (.f64 r r) w))))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w (* (* r r) 3/8)) w) 3/2) (.f64 #s(literal 3/8 binary64) (.f64 w (.f64 (.f64 r w) r))))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w (* (* r r) 3/8)) w) 3/2) (.f64 #s(literal 3/8 binary64) (.f64 (.f64 r w) (.f64 r w))))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (.f64 r r)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 r #s(literal 3/8 binary64)) (.f64 w (.f64 r w)) #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 r (.f64 w (.f64 r w))) #s(literal 3/8 binary64) #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 w w) (.f64 #s(literal 3/8 binary64) (.f64 r r)) #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 w w) (.f64 (.f64 r #s(literal 3/8 binary64)) r) #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) w #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 (.f64 w (.f64 r #s(literal 3/8 binary64))) r) w #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -1/4 binary64) (.f64 r (.f64 r (.f64 w w))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 r #s(literal -1/4 binary64)) (.f64 r (.f64 w w)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 r #s(literal -1/4 binary64)) (.f64 (.f64 r w) w) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 w #s(literal -1/4 binary64)) (.f64 r (.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 (.f64 r r) (.f64 #s(literal -1/4 binary64) w)) w (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64))))
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w) (/.f64 (.f64 (*.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (.f64 (.f64 r r) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) v))))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) #s(approx (/ ( (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)) (.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal 1/4 binary64))))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 r (.f64 r (.f64 w w))) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64))))
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (.f64 w (.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 r (.f64 r (.f64 w w))) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal 3 binary64)))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 r (.f64 r (.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64))))
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (.f64 (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 w (.f64 r w)))) (.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v))))) #s(literal 9/2 binary64))
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w) (/.f64 (.f64 (.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)))
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)))

Outputs

(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)))

#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))))

Calls

6 calls:

15.0ms	w
13.0ms	r
13.0ms	(*.f64 w w)
13.0ms	v
12.0ms	(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))

Results

Accuracy	Segments	Branch
95.6%	1	`v`
97.2%	2	`(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))`
97.2%	2	`(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))`
98.7%	2	`r`
98.7%	2	`w`
98.7%	2	`(*.f64 w w)`

Compiler

Compiled 80 to 55 computations (31.3% saved)

regimes42.0ms (0.3%)

Memory

16.6MiB live, 93.8MiB allocated

Counts

45 → 2

Calls

Call 1

Inputs
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) #s(approx (+ (* -1/4 (* w (* (* r r) w))) -3/2) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w w) (* 3/8 (* r r))) 3/2) #s(literal 3/2 binary64))))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (.f64 #s(literal -1/4 binary64) (.f64 w (.f64 (.f64 r r) w)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* r -1/4) (* r (* w w))) (+ (/ 2 (* r r)) -3/2)) (.f64 (.f64 r r) (.f64 w (.f64 w #s(literal -1/4 binary64))))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w w) (* 3/8 (* r r))) 3/2)) (.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal -3/8 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w (* (* r r) 3/8)) w) 3/2)) (.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal -3/8 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w (* (* r r) 3/8)) w) 3/2)) (.f64 (.f64 w (.f64 (.f64 r r) w)) #s(literal -3/8 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 #s(literal -1/4 binary64) (.f64 w (.f64 (*.f64 r r) w)) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 w (.f64 (.f64 r w) (*.f64 r #s(literal -1/4 binary64))) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 (.f64 r (.f64 w w)) (*.f64 r #s(literal -1/4 binary64)) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 (.f64 (.f64 r #s(literal -1/4 binary64)) w) (*.f64 r w) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w w) (* 3/8 (* r r))) 3/2)) (fma.f64 (.f64 r r) (.f64 (*.f64 w w) #s(literal -3/8 binary64)) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w (* (* r r) 3/8)) w) 3/2)) (fma.f64 (.f64 w (.f64 (*.f64 r r) w)) #s(literal -3/8 binary64) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 (fma.f64 r (.f64 r #s(literal 3 binary64)) #s(literal 2 binary64)) (.f64 r r))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (.f64 (.f64 r r) (.f64 w (.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (fma.f64 (.f64 r r) (.f64 w (*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w w) (* 3/8 (* r r))) 3/2) (.f64 r (.f64 #s(literal 3/8 binary64) (.f64 r (.f64 w w)))))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w (* (* r r) 3/8)) w) 3/2) (.f64 #s(literal 3/8 binary64) (.f64 w (.f64 (.f64 r r) w))))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w (* (* r r) 3/8)) w) 3/2) (.f64 #s(literal 3/8 binary64) (.f64 w (.f64 (.f64 r w) r))))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w (* (* r r) 3/8)) w) 3/2) (.f64 #s(literal 3/8 binary64) (.f64 (.f64 r w) (.f64 r w))))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (.f64 r r)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 r #s(literal 3/8 binary64)) (.f64 w (.f64 r w)) #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 r (.f64 w (.f64 r w))) #s(literal 3/8 binary64) #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 w w) (.f64 #s(literal 3/8 binary64) (.f64 r r)) #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 w w) (.f64 (.f64 r #s(literal 3/8 binary64)) r) #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) w #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 (.f64 w (.f64 r #s(literal 3/8 binary64))) r) w #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -1/4 binary64) (.f64 r (.f64 r (.f64 w w))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 r #s(literal -1/4 binary64)) (.f64 r (.f64 w w)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 r #s(literal -1/4 binary64)) (.f64 (.f64 r w) w) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 w #s(literal -1/4 binary64)) (.f64 r (.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 (.f64 r r) (.f64 #s(literal -1/4 binary64) w)) w (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64))))
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w) (/.f64 (.f64 (*.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (.f64 (.f64 r r) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) v))))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) #s(approx (/ ( (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)) (.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal 1/4 binary64))))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 r (.f64 r (.f64 w w))) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64))))
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (.f64 w (.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 r (.f64 r (.f64 w w))) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal 3 binary64)))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 r (.f64 r (.f64 w w))) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64))))
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (.f64 (.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 w (.f64 r w)))) (.f64 r (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v))))) #s(literal 9/2 binary64))
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w) (/.f64 (.f64 (.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)))

Outputs

#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w (*.f64 (*.f64 r r) #s(literal 3/8 binary64))) w #s(literal 3/2 binary64))))

(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)))

Calls

3 calls:

14.0ms	w
13.0ms	(*.f64 w w)
13.0ms	r

Results

Accuracy	Segments	Branch
96.1%	2	`(*.f64 w w)`
96.2%	2	`w`
98.4%	2	`r`

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes52.0ms (0.3%)

Memory

12.8MiB live, 128.4MiB allocated

Counts

40 → 2

Calls

Call 1

Inputs
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) #s(approx (+ (* -1/4 (* w (* (* r r) w))) -3/2) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w w) (* 3/8 (* r r))) 3/2) #s(literal 3/2 binary64))))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (.f64 #s(literal -1/4 binary64) (.f64 w (.f64 (.f64 r r) w)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* r -1/4) (* r (* w w))) (+ (/ 2 (* r r)) -3/2)) (.f64 (.f64 r r) (.f64 w (.f64 w #s(literal -1/4 binary64))))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w w) (* 3/8 (* r r))) 3/2)) (.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal -3/8 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w (* (* r r) 3/8)) w) 3/2)) (.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal -3/8 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w (* (* r r) 3/8)) w) 3/2)) (.f64 (.f64 w (.f64 (.f64 r r) w)) #s(literal -3/8 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 #s(literal -1/4 binary64) (.f64 w (.f64 (*.f64 r r) w)) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 w (.f64 (.f64 r w) (*.f64 r #s(literal -1/4 binary64))) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 (.f64 r (.f64 w w)) (*.f64 r #s(literal -1/4 binary64)) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 (.f64 (.f64 r #s(literal -1/4 binary64)) w) (*.f64 r w) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w w) (* 3/8 (* r r))) 3/2)) (fma.f64 (.f64 r r) (.f64 (*.f64 w w) #s(literal -3/8 binary64)) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w (* (* r r) 3/8)) w) 3/2)) (fma.f64 (.f64 w (.f64 (*.f64 r r) w)) #s(literal -3/8 binary64) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 (fma.f64 r (.f64 r #s(literal 3 binary64)) #s(literal 2 binary64)) (.f64 r r))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (.f64 (.f64 r r) (.f64 w (.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (fma.f64 (.f64 r r) (.f64 w (*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w w) (* 3/8 (* r r))) 3/2) (.f64 r (.f64 #s(literal 3/8 binary64) (.f64 r (.f64 w w)))))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w (* (* r r) 3/8)) w) 3/2) (.f64 #s(literal 3/8 binary64) (.f64 w (.f64 (.f64 r r) w))))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w (* (* r r) 3/8)) w) 3/2) (.f64 #s(literal 3/8 binary64) (.f64 w (.f64 (.f64 r w) r))))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w (* (* r r) 3/8)) w) 3/2) (.f64 #s(literal 3/8 binary64) (.f64 (.f64 r w) (.f64 r w))))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (.f64 r r)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 r #s(literal 3/8 binary64)) (.f64 w (.f64 r w)) #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 r (.f64 w (.f64 r w))) #s(literal 3/8 binary64) #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 w w) (.f64 #s(literal 3/8 binary64) (.f64 r r)) #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 w w) (.f64 (.f64 r #s(literal 3/8 binary64)) r) #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) w #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 (.f64 w (.f64 r #s(literal 3/8 binary64))) r) w #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -1/4 binary64) (.f64 r (.f64 r (.f64 w w))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 r #s(literal -1/4 binary64)) (.f64 r (.f64 w w)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 r #s(literal -1/4 binary64)) (.f64 (.f64 r w) w) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 w #s(literal -1/4 binary64)) (.f64 r (.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 (.f64 r r) (.f64 #s(literal -1/4 binary64) w)) w (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64))))
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w) (/.f64 (.f64 (*.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (.f64 (.f64 r r) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 w (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) v))))
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) #s(approx (/ ( (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)) (.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal 1/4 binary64))))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 r (.f64 r (.f64 w w))) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64))))

Outputs

#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w (*.f64 (*.f64 r r) #s(literal 3/8 binary64))) w #s(literal 3/2 binary64))))

(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w) (/.f64 (*.f64 (*.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)))

Calls

4 calls:

14.0ms	v
13.0ms	(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
13.0ms	r
10.0ms	(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))

Results

Accuracy	Segments	Branch
97.6%	3	`v`
95.8%	2	`(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))`
95.8%	2	`(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))`
96.3%	2	`r`

Compiler

Compiled 70 to 48 computations (31.4% saved)

regimes45.0ms (0.3%)

Memory

4.8MiB live, 127.6MiB allocated

Counts

36 → 3

Calls

Call 1

Inputs
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) #s(approx (+ (* -1/4 (* w (* (* r r) w))) -3/2) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w w) (* 3/8 (* r r))) 3/2) #s(literal 3/2 binary64))))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (.f64 #s(literal -1/4 binary64) (.f64 w (.f64 (.f64 r r) w)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* r -1/4) (* r (* w w))) (+ (/ 2 (* r r)) -3/2)) (.f64 (.f64 r r) (.f64 w (.f64 w #s(literal -1/4 binary64))))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w w) (* 3/8 (* r r))) 3/2)) (.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal -3/8 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w (* (* r r) 3/8)) w) 3/2)) (.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal -3/8 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w (* (* r r) 3/8)) w) 3/2)) (.f64 (.f64 w (.f64 (.f64 r r) w)) #s(literal -3/8 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 #s(literal -1/4 binary64) (.f64 w (.f64 (*.f64 r r) w)) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 w (.f64 (.f64 r w) (*.f64 r #s(literal -1/4 binary64))) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 (.f64 r (.f64 w w)) (*.f64 r #s(literal -1/4 binary64)) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 (.f64 (.f64 r #s(literal -1/4 binary64)) w) (*.f64 r w) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w w) (* 3/8 (* r r))) 3/2)) (fma.f64 (.f64 r r) (.f64 (*.f64 w w) #s(literal -3/8 binary64)) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w (* (* r r) 3/8)) w) 3/2)) (fma.f64 (.f64 w (.f64 (*.f64 r r) w)) #s(literal -3/8 binary64) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 (fma.f64 r (.f64 r #s(literal 3 binary64)) #s(literal 2 binary64)) (.f64 r r))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (.f64 (.f64 r r) (.f64 w (.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (fma.f64 (.f64 r r) (.f64 w (*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w w) (* 3/8 (* r r))) 3/2) (.f64 r (.f64 #s(literal 3/8 binary64) (.f64 r (.f64 w w)))))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w (* (* r r) 3/8)) w) 3/2) (.f64 #s(literal 3/8 binary64) (.f64 w (.f64 (.f64 r r) w))))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w (* (* r r) 3/8)) w) 3/2) (.f64 #s(literal 3/8 binary64) (.f64 w (.f64 (.f64 r w) r))))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w (* (* r r) 3/8)) w) 3/2) (.f64 #s(literal 3/8 binary64) (.f64 (.f64 r w) (.f64 r w))))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (.f64 r r)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 r #s(literal 3/8 binary64)) (.f64 w (.f64 r w)) #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 r (.f64 w (.f64 r w))) #s(literal 3/8 binary64) #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 w w) (.f64 #s(literal 3/8 binary64) (.f64 r r)) #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 w w) (.f64 (.f64 r #s(literal 3/8 binary64)) r) #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) w #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 (.f64 w (.f64 r #s(literal 3/8 binary64))) r) w #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -1/4 binary64) (.f64 r (.f64 r (.f64 w w))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 r #s(literal -1/4 binary64)) (.f64 r (.f64 w w)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 r #s(literal -1/4 binary64)) (.f64 (.f64 r w) w) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 w #s(literal -1/4 binary64)) (.f64 r (.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 (.f64 r r) (.f64 #s(literal -1/4 binary64) w)) w (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64))))

Outputs

#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))))

#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 (*.f64 w (*.f64 r #s(literal 3/8 binary64))) r) w #s(literal 3/2 binary64))))

#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 w #s(literal -1/4 binary64)) (*.f64 r (*.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))))

Calls

4 calls:

11.0ms	r
11.0ms	w
10.0ms	(*.f64 w w)
10.0ms	v

Results

Accuracy	Segments	Branch
97.6%	3	`v`
94.3%	3	`(*.f64 w w)`
94.3%	3	`w`
92.4%	2	`r`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes30.0ms (0.2%)

Memory

1.9MiB live, 80.5MiB allocated

Counts

34 → 3

Calls

Call 1

Inputs
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) #s(approx (+ (* -1/4 (* w (* (* r r) w))) -3/2) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w w) (* 3/8 (* r r))) 3/2) #s(literal 3/2 binary64))))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (.f64 #s(literal -1/4 binary64) (.f64 w (.f64 (.f64 r r) w)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* r -1/4) (* r (* w w))) (+ (/ 2 (* r r)) -3/2)) (.f64 (.f64 r r) (.f64 w (.f64 w #s(literal -1/4 binary64))))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w w) (* 3/8 (* r r))) 3/2)) (.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal -3/8 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w (* (* r r) 3/8)) w) 3/2)) (.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal -3/8 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w (* (* r r) 3/8)) w) 3/2)) (.f64 (.f64 w (.f64 (.f64 r r) w)) #s(literal -3/8 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 #s(literal -1/4 binary64) (.f64 w (.f64 (*.f64 r r) w)) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 w (.f64 (.f64 r w) (*.f64 r #s(literal -1/4 binary64))) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 (.f64 r (.f64 w w)) (*.f64 r #s(literal -1/4 binary64)) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 (.f64 (.f64 r #s(literal -1/4 binary64)) w) (*.f64 r w) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w w) (* 3/8 (* r r))) 3/2)) (fma.f64 (.f64 r r) (.f64 (*.f64 w w) #s(literal -3/8 binary64)) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w (* (* r r) 3/8)) w) 3/2)) (fma.f64 (.f64 w (.f64 (*.f64 r r) w)) #s(literal -3/8 binary64) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 (fma.f64 r (.f64 r #s(literal 3 binary64)) #s(literal 2 binary64)) (.f64 r r))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (.f64 (.f64 r r) (.f64 w (.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (fma.f64 (.f64 r r) (.f64 w (*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w w) (* 3/8 (* r r))) 3/2) (.f64 r (.f64 #s(literal 3/8 binary64) (.f64 r (.f64 w w)))))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w (* (* r r) 3/8)) w) 3/2) (.f64 #s(literal 3/8 binary64) (.f64 w (.f64 (.f64 r r) w))))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w (* (* r r) 3/8)) w) 3/2) (.f64 #s(literal 3/8 binary64) (.f64 w (.f64 (.f64 r w) r))))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w (* (* r r) 3/8)) w) 3/2) (.f64 #s(literal 3/8 binary64) (.f64 (.f64 r w) (.f64 r w))))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (.f64 r r)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 r #s(literal 3/8 binary64)) (.f64 w (.f64 r w)) #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 r (.f64 w (.f64 r w))) #s(literal 3/8 binary64) #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 w w) (.f64 #s(literal 3/8 binary64) (.f64 r r)) #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 w w) (.f64 (.f64 r #s(literal 3/8 binary64)) r) #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) w #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 (.f64 w (.f64 r #s(literal 3/8 binary64))) r) w #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -1/4 binary64) (.f64 r (.f64 r (.f64 w w))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 r #s(literal -1/4 binary64)) (.f64 r (.f64 w w)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 r #s(literal -1/4 binary64)) (.f64 (.f64 r w) w) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64))))

Outputs

#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 r #s(literal -1/4 binary64)) (*.f64 (*.f64 r w) w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))))

#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 (*.f64 w (*.f64 r #s(literal 3/8 binary64))) r) w #s(literal 3/2 binary64))))

#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (*.f64 r #s(literal -1/4 binary64)) (*.f64 (*.f64 r w) w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))))

Calls

3 calls:

11.0ms

9.0ms

(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))

8.0ms

(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))

Results

Accuracy	Segments	Branch
90.6%	1	`(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))`
90.6%	1	`(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))`
96.7%	3	`v`

Compiler

Compiled 66 to 45 computations (31.8% saved)

regimes12.0ms (0.1%)

Memory

-4.7MiB live, 34.3MiB allocated

Counts

33 → 2

Calls

Call 1

Inputs
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) #s(approx (+ (* -1/4 (* w (* (* r r) w))) -3/2) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w w) (* 3/8 (* r r))) 3/2) #s(literal 3/2 binary64))))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (.f64 #s(literal -1/4 binary64) (.f64 w (.f64 (.f64 r r) w)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* r -1/4) (* r (* w w))) (+ (/ 2 (* r r)) -3/2)) (.f64 (.f64 r r) (.f64 w (.f64 w #s(literal -1/4 binary64))))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w w) (* 3/8 (* r r))) 3/2)) (.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal -3/8 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w (* (* r r) 3/8)) w) 3/2)) (.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal -3/8 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w (* (* r r) 3/8)) w) 3/2)) (.f64 (.f64 w (.f64 (.f64 r r) w)) #s(literal -3/8 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 #s(literal -1/4 binary64) (.f64 w (.f64 (*.f64 r r) w)) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 w (.f64 (.f64 r w) (*.f64 r #s(literal -1/4 binary64))) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 (.f64 r (.f64 w w)) (*.f64 r #s(literal -1/4 binary64)) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 (.f64 (.f64 r #s(literal -1/4 binary64)) w) (*.f64 r w) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w w) (* 3/8 (* r r))) 3/2)) (fma.f64 (.f64 r r) (.f64 (*.f64 w w) #s(literal -3/8 binary64)) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w (* (* r r) 3/8)) w) 3/2)) (fma.f64 (.f64 w (.f64 (*.f64 r r) w)) #s(literal -3/8 binary64) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 (fma.f64 r (.f64 r #s(literal 3 binary64)) #s(literal 2 binary64)) (.f64 r r))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (.f64 (.f64 r r) (.f64 w (.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (fma.f64 (.f64 r r) (.f64 w (*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w w) (* 3/8 (* r r))) 3/2) (.f64 r (.f64 #s(literal 3/8 binary64) (.f64 r (.f64 w w)))))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w (* (* r r) 3/8)) w) 3/2) (.f64 #s(literal 3/8 binary64) (.f64 w (.f64 (.f64 r r) w))))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w (* (* r r) 3/8)) w) 3/2) (.f64 #s(literal 3/8 binary64) (.f64 w (.f64 (.f64 r w) r))))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w (* (* r r) 3/8)) w) 3/2) (.f64 #s(literal 3/8 binary64) (.f64 (.f64 r w) (.f64 r w))))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (.f64 r r)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 r #s(literal 3/8 binary64)) (.f64 w (.f64 r w)) #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 r (.f64 w (.f64 r w))) #s(literal 3/8 binary64) #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 w w) (.f64 #s(literal 3/8 binary64) (.f64 r r)) #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 w w) (.f64 (.f64 r #s(literal 3/8 binary64)) r) #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) w #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 (.f64 w (.f64 r #s(literal 3/8 binary64))) r) w #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -1/4 binary64) (.f64 r (.f64 r (.f64 w w))) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 r #s(literal -1/4 binary64)) (.f64 r (.f64 w w)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64))))

Outputs

#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))))

#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 (*.f64 w (*.f64 r #s(literal 3/8 binary64))) r) w #s(literal 3/2 binary64))))

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
93.1%	2	`v`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes29.0ms (0.2%)

Memory

-4.6MiB live, 77.0MiB allocated

Counts

30 → 3

Calls

Call 1

Inputs
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) #s(approx (+ (* -1/4 (* w (* (* r r) w))) -3/2) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w w) (* 3/8 (* r r))) 3/2) #s(literal 3/2 binary64))))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (.f64 #s(literal -1/4 binary64) (.f64 w (.f64 (.f64 r r) w)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* r -1/4) (* r (* w w))) (+ (/ 2 (* r r)) -3/2)) (.f64 (.f64 r r) (.f64 w (.f64 w #s(literal -1/4 binary64))))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w w) (* 3/8 (* r r))) 3/2)) (.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal -3/8 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w (* (* r r) 3/8)) w) 3/2)) (.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal -3/8 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w (* (* r r) 3/8)) w) 3/2)) (.f64 (.f64 w (.f64 (.f64 r r) w)) #s(literal -3/8 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 #s(literal -1/4 binary64) (.f64 w (.f64 (*.f64 r r) w)) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 w (.f64 (.f64 r w) (*.f64 r #s(literal -1/4 binary64))) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 (.f64 r (.f64 w w)) (*.f64 r #s(literal -1/4 binary64)) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 (.f64 (.f64 r #s(literal -1/4 binary64)) w) (*.f64 r w) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w w) (* 3/8 (* r r))) 3/2)) (fma.f64 (.f64 r r) (.f64 (*.f64 w w) #s(literal -3/8 binary64)) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w (* (* r r) 3/8)) w) 3/2)) (fma.f64 (.f64 w (.f64 (*.f64 r r) w)) #s(literal -3/8 binary64) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 (fma.f64 r (.f64 r #s(literal 3 binary64)) #s(literal 2 binary64)) (.f64 r r))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (.f64 (.f64 r r) (.f64 w (.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (fma.f64 (.f64 r r) (.f64 w (*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w w) (* 3/8 (* r r))) 3/2) (.f64 r (.f64 #s(literal 3/8 binary64) (.f64 r (.f64 w w)))))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w (* (* r r) 3/8)) w) 3/2) (.f64 #s(literal 3/8 binary64) (.f64 w (.f64 (.f64 r r) w))))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w (* (* r r) 3/8)) w) 3/2) (.f64 #s(literal 3/8 binary64) (.f64 w (.f64 (.f64 r w) r))))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w (* (* r r) 3/8)) w) 3/2) (.f64 #s(literal 3/8 binary64) (.f64 (.f64 r w) (.f64 r w))))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (.f64 r r)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 r #s(literal 3/8 binary64)) (.f64 w (.f64 r w)) #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 r (.f64 w (.f64 r w))) #s(literal 3/8 binary64) #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 w w) (.f64 #s(literal 3/8 binary64) (.f64 r r)) #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 w w) (.f64 (.f64 r #s(literal 3/8 binary64)) r) #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) w #s(literal 3/2 binary64))))

Outputs

#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r #s(literal 3/8 binary64)) (*.f64 w (*.f64 r w)) #s(literal 3/2 binary64))))

#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))))

#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 w (*.f64 (*.f64 r r) #s(literal 3/8 binary64))) w #s(literal 3/2 binary64))))

Calls

3 calls:

10.0ms	v
9.0ms	w
8.0ms	(*.f64 w w)

Results

Accuracy	Segments	Branch
94.0%	3	`w`
94.0%	3	`(*.f64 w w)`
93.6%	3	`v`

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes19.0ms (0.1%)

Memory

-2.0MiB live, 37.2MiB allocated

Counts

29 → 3

Calls

Call 1

Inputs
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) #s(approx (+ (* -1/4 (* w (* (* r r) w))) -3/2) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w w) (* 3/8 (* r r))) 3/2) #s(literal 3/2 binary64))))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (.f64 #s(literal -1/4 binary64) (.f64 w (.f64 (.f64 r r) w)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* r -1/4) (* r (* w w))) (+ (/ 2 (* r r)) -3/2)) (.f64 (.f64 r r) (.f64 w (.f64 w #s(literal -1/4 binary64))))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w w) (* 3/8 (* r r))) 3/2)) (.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal -3/8 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w (* (* r r) 3/8)) w) 3/2)) (.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal -3/8 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w (* (* r r) 3/8)) w) 3/2)) (.f64 (.f64 w (.f64 (.f64 r r) w)) #s(literal -3/8 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 #s(literal -1/4 binary64) (.f64 w (.f64 (*.f64 r r) w)) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 w (.f64 (.f64 r w) (*.f64 r #s(literal -1/4 binary64))) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 (.f64 r (.f64 w w)) (*.f64 r #s(literal -1/4 binary64)) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 (.f64 (.f64 r #s(literal -1/4 binary64)) w) (*.f64 r w) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w w) (* 3/8 (* r r))) 3/2)) (fma.f64 (.f64 r r) (.f64 (*.f64 w w) #s(literal -3/8 binary64)) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w (* (* r r) 3/8)) w) 3/2)) (fma.f64 (.f64 w (.f64 (*.f64 r r) w)) #s(literal -3/8 binary64) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 (fma.f64 r (.f64 r #s(literal 3 binary64)) #s(literal 2 binary64)) (.f64 r r))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (.f64 (.f64 r r) (.f64 w (.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (fma.f64 (.f64 r r) (.f64 w (*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w w) (* 3/8 (* r r))) 3/2) (.f64 r (.f64 #s(literal 3/8 binary64) (.f64 r (.f64 w w)))))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w (* (* r r) 3/8)) w) 3/2) (.f64 #s(literal 3/8 binary64) (.f64 w (.f64 (.f64 r r) w))))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w (* (* r r) 3/8)) w) 3/2) (.f64 #s(literal 3/8 binary64) (.f64 w (.f64 (.f64 r w) r))))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w (* (* r r) 3/8)) w) 3/2) (.f64 #s(literal 3/8 binary64) (.f64 (.f64 r w) (.f64 r w))))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (.f64 r r)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 r #s(literal 3/8 binary64)) (.f64 w (.f64 r w)) #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 r (.f64 w (.f64 r w))) #s(literal 3/8 binary64) #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 w w) (.f64 #s(literal 3/8 binary64) (.f64 r r)) #s(literal 3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 w w) (.f64 (.f64 r #s(literal 3/8 binary64)) r) #s(literal 3/2 binary64))))

Outputs

#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 r #s(literal 3/8 binary64)) (*.f64 w (*.f64 r w)) #s(literal 3/2 binary64))))

#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (*.f64 r r)))))

#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* w (* (* r r) 3/8)) w) 3/2) (*.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 r w) (*.f64 r w))))))

Calls

2 calls:

9.0ms	(*.f64 w w)
9.0ms	w

Results

Accuracy	Segments	Branch
94.0%	3	`w`
94.0%	3	`(*.f64 w w)`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes157.0ms (1%)

Memory

5.5MiB live, 90.4MiB allocated

Counts

25 → 2

Calls

Call 1

Inputs
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) #s(approx (+ (* -1/4 (* w (* (* r r) w))) -3/2) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w w) (* 3/8 (* r r))) 3/2) #s(literal 3/2 binary64))))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (.f64 #s(literal -1/4 binary64) (.f64 w (.f64 (.f64 r r) w)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* r -1/4) (* r (* w w))) (+ (/ 2 (* r r)) -3/2)) (.f64 (.f64 r r) (.f64 w (.f64 w #s(literal -1/4 binary64))))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w w) (* 3/8 (* r r))) 3/2)) (.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal -3/8 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w (* (* r r) 3/8)) w) 3/2)) (.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal -3/8 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w (* (* r r) 3/8)) w) 3/2)) (.f64 (.f64 w (.f64 (.f64 r r) w)) #s(literal -3/8 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 #s(literal -1/4 binary64) (.f64 w (.f64 (*.f64 r r) w)) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 w (.f64 (.f64 r w) (*.f64 r #s(literal -1/4 binary64))) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 (.f64 r (.f64 w w)) (*.f64 r #s(literal -1/4 binary64)) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 (.f64 (.f64 r #s(literal -1/4 binary64)) w) (*.f64 r w) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w w) (* 3/8 (* r r))) 3/2)) (fma.f64 (.f64 r r) (.f64 (*.f64 w w) #s(literal -3/8 binary64)) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w (* (* r r) 3/8)) w) 3/2)) (fma.f64 (.f64 w (.f64 (*.f64 r r) w)) #s(literal -3/8 binary64) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 (fma.f64 r (.f64 r #s(literal 3 binary64)) #s(literal 2 binary64)) (.f64 r r))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (.f64 (.f64 r r) (.f64 w (.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (fma.f64 (.f64 r r) (.f64 w (*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w w) (* 3/8 (* r r))) 3/2) (.f64 r (.f64 #s(literal 3/8 binary64) (.f64 r (.f64 w w)))))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w (* (* r r) 3/8)) w) 3/2) (.f64 #s(literal 3/8 binary64) (.f64 w (.f64 (.f64 r r) w))))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w (* (* r r) 3/8)) w) 3/2) (.f64 #s(literal 3/8 binary64) (.f64 w (.f64 (.f64 r w) r))))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w (* (* r r) 3/8)) w) 3/2) (.f64 #s(literal 3/8 binary64) (.f64 (.f64 r w) (.f64 r w))))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (.f64 r r)))))

Outputs

#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* w (* (* r r) 3/8)) w) 3/2) (*.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 r w) (*.f64 r w))))))

#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 (*.f64 (*.f64 r #s(literal -1/4 binary64)) w) (*.f64 r w) #s(literal -3/2 binary64))))

Calls

6 calls:

102.0ms	(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))
25.0ms	w
8.0ms	v
8.0ms	r
7.0ms	(*.f64 w w)

Results

Accuracy	Segments	Branch
89.2%	3	`v`
91.9%	3	`(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))`
91.9%	3	`(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))`
91.4%	2	`r`
90.0%	4	`w`
90.0%	4	`(*.f64 w w)`

Compiler

Compiled 80 to 55 computations (31.3% saved)

regimes87.0ms (0.6%)

Memory

-23.4MiB live, 16.0MiB allocated

Counts

23 → 2

Calls

Call 1

Inputs
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) #s(approx (+ (* -1/4 (* w (* (* r r) w))) -3/2) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w w) (* 3/8 (* r r))) 3/2) #s(literal 3/2 binary64))))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (.f64 #s(literal -1/4 binary64) (.f64 w (.f64 (.f64 r r) w)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* r -1/4) (* r (* w w))) (+ (/ 2 (* r r)) -3/2)) (.f64 (.f64 r r) (.f64 w (.f64 w #s(literal -1/4 binary64))))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w w) (* 3/8 (* r r))) 3/2)) (.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal -3/8 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w (* (* r r) 3/8)) w) 3/2)) (.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal -3/8 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w (* (* r r) 3/8)) w) 3/2)) (.f64 (.f64 w (.f64 (.f64 r r) w)) #s(literal -3/8 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 #s(literal -1/4 binary64) (.f64 w (.f64 (*.f64 r r) w)) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 w (.f64 (.f64 r w) (*.f64 r #s(literal -1/4 binary64))) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 (.f64 r (.f64 w w)) (*.f64 r #s(literal -1/4 binary64)) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 (.f64 (.f64 r #s(literal -1/4 binary64)) w) (*.f64 r w) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w w) (* 3/8 (* r r))) 3/2)) (fma.f64 (.f64 r r) (.f64 (*.f64 w w) #s(literal -3/8 binary64)) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w (* (* r r) 3/8)) w) 3/2)) (fma.f64 (.f64 w (.f64 (*.f64 r r) w)) #s(literal -3/8 binary64) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 (fma.f64 r (.f64 r #s(literal 3 binary64)) #s(literal 2 binary64)) (.f64 r r))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (.f64 (.f64 r r) (.f64 w (.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (fma.f64 (.f64 r r) (.f64 w (*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w w) (* 3/8 (* r r))) 3/2) (.f64 r (.f64 #s(literal 3/8 binary64) (.f64 r (.f64 w w)))))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w (* (* r r) 3/8)) w) 3/2) (.f64 #s(literal 3/8 binary64) (.f64 w (.f64 (.f64 r r) w))))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w (* (* r r) 3/8)) w) 3/2) (.f64 #s(literal 3/8 binary64) (.f64 w (.f64 (.f64 r w) r))))))

Outputs

#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (+ (* (* w (* (* r r) 3/8)) w) 3/2) (*.f64 #s(literal 3/8 binary64) (*.f64 w (*.f64 (*.f64 r r) w))))))

#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 (*.f64 (*.f64 r #s(literal -1/4 binary64)) w) (*.f64 r w) #s(literal -3/2 binary64))))

Calls

1 calls:

85.0ms

Results

Accuracy	Segments	Branch
91.4%	2	`r`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes158.0ms (1%)

Memory

-4.7MiB live, 34.8MiB allocated

Counts

21 → 2

Calls

Call 1

Inputs
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) #s(approx (+ (* -1/4 (* w (* (* r r) w))) -3/2) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w w) (* 3/8 (* r r))) 3/2) #s(literal 3/2 binary64))))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (.f64 #s(literal -1/4 binary64) (.f64 w (.f64 (.f64 r r) w)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* r -1/4) (* r (* w w))) (+ (/ 2 (* r r)) -3/2)) (.f64 (.f64 r r) (.f64 w (.f64 w #s(literal -1/4 binary64))))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w w) (* 3/8 (* r r))) 3/2)) (.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal -3/8 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w (* (* r r) 3/8)) w) 3/2)) (.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal -3/8 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w (* (* r r) 3/8)) w) 3/2)) (.f64 (.f64 w (.f64 (.f64 r r) w)) #s(literal -3/8 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 #s(literal -1/4 binary64) (.f64 w (.f64 (*.f64 r r) w)) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 w (.f64 (.f64 r w) (*.f64 r #s(literal -1/4 binary64))) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 (.f64 r (.f64 w w)) (*.f64 r #s(literal -1/4 binary64)) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 (.f64 (.f64 r #s(literal -1/4 binary64)) w) (*.f64 r w) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w w) (* 3/8 (* r r))) 3/2)) (fma.f64 (.f64 r r) (.f64 (*.f64 w w) #s(literal -3/8 binary64)) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w (* (* r r) 3/8)) w) 3/2)) (fma.f64 (.f64 w (.f64 (*.f64 r r) w)) #s(literal -3/8 binary64) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 (fma.f64 r (.f64 r #s(literal 3 binary64)) #s(literal 2 binary64)) (.f64 r r))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (.f64 (.f64 r r) (.f64 w (.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (/ 2 (* r r)) (+ (* (* r (* r (* w w))) (- (/ 1/8 v) 1/4)) -3/2)) (fma.f64 (.f64 r r) (.f64 w (*.f64 w (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) v)))) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w w) (* 3/8 (* r r))) 3/2) (.f64 r (.f64 #s(literal 3/8 binary64) (.f64 r (.f64 w w)))))))

Outputs

#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 (*.f64 (*.f64 r #s(literal -1/4 binary64)) w) (*.f64 r w) #s(literal -3/2 binary64))))

#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))

Calls

3 calls:

145.0ms

(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))

7.0ms

6.0ms

(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))

Results

Accuracy	Segments	Branch
89.2%	2	`(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))`
89.2%	2	`(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))`
89.5%	3	`r`

Compiler

Compiled 66 to 45 computations (31.8% saved)

regimes9.0ms (0.1%)

Memory

16.1MiB live, 16.1MiB allocated

Counts

13 → 2

Calls

Call 1

Inputs
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) #s(approx (+ (* -1/4 (* w (* (* r r) w))) -3/2) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w w) (* 3/8 (* r r))) 3/2) #s(literal 3/2 binary64))))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (.f64 #s(literal -1/4 binary64) (.f64 w (.f64 (.f64 r r) w)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* r -1/4) (* r (* w w))) (+ (/ 2 (* r r)) -3/2)) (.f64 (.f64 r r) (.f64 w (.f64 w #s(literal -1/4 binary64))))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w w) (* 3/8 (* r r))) 3/2)) (.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal -3/8 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w (* (* r r) 3/8)) w) 3/2)) (.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal -3/8 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w (* (* r r) 3/8)) w) 3/2)) (.f64 (.f64 w (.f64 (.f64 r r) w)) #s(literal -3/8 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 #s(literal -1/4 binary64) (.f64 w (.f64 (*.f64 r r) w)) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 w (.f64 (.f64 r w) (*.f64 r #s(literal -1/4 binary64))) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 (.f64 r (.f64 w w)) (*.f64 r #s(literal -1/4 binary64)) #s(literal -3/2 binary64))))

Outputs

#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 w (*.f64 (*.f64 r w) (*.f64 r #s(literal -1/4 binary64))) #s(literal -3/2 binary64))))

#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))

Calls

2 calls:

4.0ms

(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))

4.0ms

(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))

Results

Accuracy	Segments	Branch
88.2%	2	`(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))`
88.2%	2	`(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))`

Compiler

Compiled 62 to 42 computations (32.3% saved)

regimes56.0ms (0.4%)

Memory

1.2MiB live, 41.0MiB allocated

Counts

11 → 2

Calls

Call 1

Inputs
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) #s(approx (+ (* -1/4 (* w (* (* r r) w))) -3/2) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w w) (* 3/8 (* r r))) 3/2) #s(literal 3/2 binary64))))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (.f64 #s(literal -1/4 binary64) (.f64 w (.f64 (.f64 r r) w)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* r -1/4) (* r (* w w))) (+ (/ 2 (* r r)) -3/2)) (.f64 (.f64 r r) (.f64 w (.f64 w #s(literal -1/4 binary64))))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w w) (* 3/8 (* r r))) 3/2)) (.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal -3/8 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w (* (* r r) 3/8)) w) 3/2)) (.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal -3/8 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w (* (* r r) 3/8)) w) 3/2)) (.f64 (.f64 w (.f64 (.f64 r r) w)) #s(literal -3/8 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 #s(literal -1/4 binary64) (.f64 w (.f64 (*.f64 r r) w)) #s(literal -3/2 binary64))))

Outputs

#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w (* (* r r) 3/8)) w) 3/2)) (*.f64 (*.f64 w (*.f64 (*.f64 r r) w)) #s(literal -3/8 binary64))))

#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))

Calls

6 calls:

36.0ms	v
4.0ms	r
4.0ms	w
4.0ms	(*.f64 w w)
4.0ms	(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))

Results

Accuracy	Segments	Branch
68.8%	2	`w`
68.8%	2	`(*.f64 w w)`
56.8%	1	`v`
78.3%	2	`r`
86.8%	2	`(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))`
86.8%	2	`(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))`

Compiler

Compiled 80 to 55 computations (31.3% saved)

regimes7.0ms (0%)

Memory

12.9MiB live, 12.9MiB allocated

Counts

9 → 3

Calls

Call 1

Inputs
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) #s(approx (+ (* -1/4 (* w (* (* r r) w))) -3/2) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w w) (* 3/8 (* r r))) 3/2) #s(literal 3/2 binary64))))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (.f64 #s(literal -1/4 binary64) (.f64 w (.f64 (.f64 r r) w)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* r -1/4) (* r (* w w))) (+ (/ 2 (* r r)) -3/2)) (.f64 (.f64 r r) (.f64 w (.f64 w #s(literal -1/4 binary64))))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w w) (* 3/8 (* r r))) 3/2)) (.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal -3/8 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w (* (* r r) 3/8)) w) 3/2)) (.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal -3/8 binary64)))))

Outputs

#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (*.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 (*.f64 r r) w)))))

#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w w) (* 3/8 (* r r))) 3/2)) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -3/8 binary64)))))

#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))

Calls

2 calls:

3.0ms

(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))

3.0ms

(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))

Results

Accuracy	Segments	Branch
87.2%	3	`(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))`
87.2%	3	`(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))`

Compiler

Compiled 62 to 42 computations (32.3% saved)

regimes42.0ms (0.3%)

Memory

-30.0MiB live, 11.2MiB allocated

Counts

7 → 2

Calls

Call 1

Inputs
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) #s(approx (+ (* -1/4 (* w (* (* r r) w))) -3/2) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w w) (* 3/8 (* r r))) 3/2) #s(literal 3/2 binary64))))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (.f64 #s(literal -1/4 binary64) (.f64 w (.f64 (.f64 r r) w)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* (* r -1/4) (* r (* w w))) (+ (/ 2 (* r r)) -3/2)) (.f64 (.f64 r r) (.f64 w (.f64 w #s(literal -1/4 binary64))))))

Outputs

#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (*.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 (*.f64 r r) w)))))

#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))

Calls

2 calls:

39.0ms

(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))

3.0ms

(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))

Results

Accuracy	Segments	Branch
85.3%	2	`(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))`
85.3%	2	`(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))`

Compiler

Compiled 62 to 42 computations (32.3% saved)

regimes12.0ms (0.1%)

Memory

18.8MiB live, 18.8MiB allocated

Counts

5 → 1

Calls

Call 1

Inputs
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) #s(approx (+ (* -1/4 (* w (* (* r r) w))) -3/2) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w w) (* 3/8 (* r r))) 3/2) #s(literal 3/2 binary64))))
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64))

Outputs
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))

Calls

5 calls:

2.0ms	w
2.0ms	r
2.0ms	(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
2.0ms	(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))
2.0ms	(*.f64 w w)

Results

Accuracy	Segments	Branch
56.8%	1	`w`
56.8%	1	`(*.f64 w w)`
56.8%	1	`r`
56.8%	1	`(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))`
56.8%	1	`(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))`

Compiler

Compiled 76 to 52 computations (31.6% saved)

regimes56.0ms (0.4%)

Memory

-18.8MiB live, 20.9MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs

#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) #s(approx (+ (* -1/4 (* w (* (* r r) w))) -3/2) #s(literal -3/2 binary64))))

#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))

Outputs

#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r)))

#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) #s(approx (+ (* -1/4 (* w (* (* r r) w))) -3/2) #s(literal -3/2 binary64))))

Calls

6 calls:

47.0ms	w
2.0ms	v
2.0ms	r
2.0ms	(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
1.0ms	(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))

Results

Accuracy	Segments	Branch
42.5%	1	`v`
42.5%	1	`w`
56.4%	2	`(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))`
56.4%	2	`(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))`
42.5%	1	`(*.f64 w w)`
56.7%	2	`r`

Compiler

Compiled 80 to 55 computations (31.3% saved)

regimes8.0ms (0.1%)

Memory

18.3MiB live, 18.3MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs

#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) #s(approx (+ (* -1/4 (* w (* (* r r) w))) -3/2) #s(literal -3/2 binary64))))

Outputs

#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) #s(approx (+ (* -1/4 (* w (* (* r r) w))) -3/2) #s(literal -3/2 binary64))))

Calls

6 calls:

1.0ms	v
1.0ms	r
1.0ms	(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))
1.0ms	(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))
1.0ms	w

Results

Accuracy	Segments	Branch
15.7%	1	`w`
15.7%	1	`(*.f64 w w)`
15.7%	1	`v`
15.7%	1	`(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))`
15.7%	1	`(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)))`
15.7%	1	`r`

Compiler

Compiled 80 to 55 computations (31.3% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	5.396983967240944e-231	6.627705908488894e-221

Compiler

Compiled 35 to 28 computations (20% saved)

bsearch3.0ms (0%)

Memory

4.9MiB live, 4.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
2.0ms	4.759291073232662e+185	1.24653033779235e+186

Samples

2.0ms

16×

valid

Compiler

Compiled 87 to 63 computations (27.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

ival-mult: 1.0ms (86.2% of total)

ival-div: 0.0ms (0% of total)

ival-sub: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

ival-add: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

bsearch52.0ms (0.3%)

Memory

-11.4MiB live, 28.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
49.0ms	9.67702341245394e-11	9.807723028766449e-10

Samples

45.0ms

96×

valid

Compiler

Compiled 317 to 214 computations (32.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 4.0ms (56.6% of total)

ival-sub: 2.0ms (28.3% of total)

ival-div: 1.0ms (14.2% of total)

ival-true: 0.0ms (0% of total)

ival-add: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

bsearch13.0ms (0.1%)

Memory

22.1MiB live, 22.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	9.67702341245394e-11	9.807723028766449e-10

Samples

8.0ms

80×

valid

Compiler

Compiled 305 to 208 computations (31.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-mult: 3.0ms (50.8% of total)

ival-div: 1.0ms (16.9% of total)

ival-sub: 1.0ms (16.9% of total)

ival-true: 0.0ms (0% of total)

ival-add: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

bsearch137.0ms (0.9%)

Memory

-29.2MiB live, 50.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
40.0ms	2.91956249261985e-15	5.6626219065048825e-15
18.0ms	-15336914532894134000.0	-54900238797235560.0

Samples

51.0ms

192×

valid

Compiler

Compiled 539 to 364 computations (32.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 7.0ms (48.8% of total)

ival-sub: 3.0ms (20.9% of total)

ival-div: 2.0ms (14% of total)

ival-add: 1.0ms (7% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

bsearch12.0ms (0.1%)

Memory

18.9MiB live, 18.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.91956249261985e-15	5.6626219065048825e-15
9.0ms	-15336914532894134000.0	-54900238797235560.0

Samples

6.0ms

64×

valid

Compiler

Compiled 539 to 364 computations (32.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult: 2.0ms (44.2% of total)

ival-div: 1.0ms (22.1% of total)

ival-sub: 1.0ms (22.1% of total)

ival-true: 0.0ms (0% of total)

ival-add: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

bsearch54.0ms (0.4%)

Memory

-12.6MiB live, 26.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
52.0ms	-15336914532894134000.0	-54900238797235560.0

Samples

48.0ms

96×

valid

Compiler

Compiled 371 to 244 computations (34.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-mult: 41.0ms (91.2% of total)

ival-div: 1.0ms (2.2% of total)

ival-sub: 1.0ms (2.2% of total)

ival-true: 0.0ms (0% of total)

ival-add: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.010573589208401e+166	5.3164281388532784e+169
0.0ms	8.585947482458651e-144	5.05405951528067e-137

Compiler

Compiled 35 to 28 computations (20% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.010573589208401e+166	5.3164281388532784e+169
0.0ms	8.585947482458651e-144	5.05405951528067e-137

Compiler

Compiled 35 to 28 computations (20% saved)

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	9.67702341245394e-11	9.807723028766449e-10

Compiler

Compiled 257 to 160 computations (37.7% saved)

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	9.67702341245394e-11	9.807723028766449e-10

Compiler

Compiled 257 to 160 computations (37.7% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.0	3.00000000000017

Compiler

Compiled 35 to 28 computations (20% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.0	3.00000000000017

Compiler

Compiled 35 to 28 computations (20% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-8.639166467099499e+20	2.999732865496985

Compiler

Compiled 35 to 28 computations (20% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-8.639166467099499e+20	2.999732865496985
0.0ms	-inf	-2.5538611423232945e+300

Compiler

Compiled 35 to 28 computations (20% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-8.639166467099499e+20	2.999732865496985

Compiler

Compiled 35 to 28 computations (20% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	9.67702341245394e-11	9.807723028766449e-10

Compiler

Compiled 143 to 100 computations (30.1% saved)

simplify94.0ms (0.6%)

Memory

-12.5MiB live, 66.8MiB allocated

Algorithm

1×	egg-herbie

Rules

334×	`unsub-neg_binary64`
204×	`neg-mul-1_binary64`
130×	`*-commutative_binary64`
98×	`distribute-lft-neg-in_binary64`
94×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	188	2137
1	251	2137
2	296	2137
3	334	2137
4	381	2137
5	434	2137
6	575	2137
7	805	2137
8	942	2137
9	967	2137
10	975	2137
11	976	2137

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 w w) #s(literal 8739899877464283/873989987746428259412194333913416701987357762822590714399458303903535888835232670878457161432636363996257309241302481691723537010408733419813385804491106555801784494262060916206872597091033287849274902594962928694944169726768114734355431735427072 binary64)) (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (.f64 w (.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (/.f64 (.f64 (*.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) w) #s(literal 9/2 binary64))))
(if (<=.f64 w #s(literal 499999999999999989808522084376857585553564725933420826033816059478724227392780555018085723055197992539301255695814786059441754879368190130759447389960039529302154427470988612958966251520 binary64)) (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (.f64 w (.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (.f64 r r))))))
(if (<=.f64 r #s(literal 5996272065288561/19342813113834066795298816 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) w #s(literal 3/2 binary64)))) (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (.f64 w (.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))))
(if (<=.f64 r #s(literal 4593918114535591/4835703278458516698824704 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) w #s(literal 3/2 binary64)))) (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w) (/.f64 (.f64 (*.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))))
(if (<=.f64 v #s(literal -55000000000000000 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 w #s(literal -1/4 binary64)) (.f64 r (.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64)))) (if (<=.f64 v #s(literal 3486039150627631/633825300114114700748351602688 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 (.f64 w (.f64 r #s(literal 3/8 binary64))) r) w #s(literal 3/2 binary64)))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 w #s(literal -1/4 binary64)) (.f64 r (.f64 r w)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64))))))
(if (<=.f64 v #s(literal -75000000000000000 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 r #s(literal -1/4 binary64)) (.f64 (.f64 r w) w) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64)))) (if (<=.f64 v #s(literal 3486039150627631/633825300114114700748351602688 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 (.f64 w (.f64 r #s(literal 3/8 binary64))) r) w #s(literal 3/2 binary64)))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 r #s(literal -1/4 binary64)) (.f64 (.f64 r w) w) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64))))))
(if (<=.f64 v #s(literal -460000000000000000 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (.f64 r r))))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 (.f64 w (.f64 r #s(literal 3/8 binary64))) r) w #s(literal 3/2 binary64)))))
(if (<=.f64 (.f64 w w) #s(literal 2196735251241795/219673525124179510879420825570604582952621929604585773100622830693937381868724993667921908501166545759273481964527387457187903615990932602002368905315681828864 binary64)) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 r #s(literal 3/8 binary64)) (.f64 w (.f64 r w)) #s(literal 3/2 binary64)))) (if (<=.f64 (.f64 w w) #s(literal 50000000000000001930449714370975720139701025745675219477211914784288695508246371335098695877271585171777875451431577515195663644768354254411583398686815316200363393024 binary64)) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (.f64 r r))))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) w #s(literal 3/2 binary64))))))
(if (<=.f64 (.f64 w w) #s(literal 2196735251241795/219673525124179510879420825570604582952621929604585773100622830693937381868724993667921908501166545759273481964527387457187903615990932602002368905315681828864 binary64)) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 r #s(literal 3/8 binary64)) (.f64 w (.f64 r w)) #s(literal 3/2 binary64)))) (if (<=.f64 (.f64 w w) #s(literal 50000000000000001930449714370975720139701025745675219477211914784288695508246371335098695877271585171777875451431577515195663644768354254411583398686815316200363393024 binary64)) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (.f64 r r))))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w (* (* r r) 3/8)) w) 3/2) (.f64 #s(literal 3/8 binary64) (.f64 (.f64 r w) (.f64 r w))))))))
(if (<=.f64 r #s(literal 4593918114535591/4835703278458516698824704 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w (* (* r r) 3/8)) w) 3/2) (.f64 #s(literal 3/8 binary64) (.f64 (.f64 r w) (.f64 r w)))))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 (.f64 (.f64 r #s(literal -1/4 binary64)) w) (*.f64 r w) #s(literal -3/2 binary64)))))
(if (<=.f64 r #s(literal 4593918114535591/4835703278458516698824704 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w (* (* r r) 3/8)) w) 3/2) (.f64 #s(literal 3/8 binary64) (.f64 w (.f64 (.f64 r r) w)))))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 (.f64 (.f64 r #s(literal -1/4 binary64)) w) (*.f64 r w) #s(literal -3/2 binary64)))))
(if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 3 binary64)) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 (.f64 (.f64 r #s(literal -1/4 binary64)) w) (.f64 r w) #s(literal -3/2 binary64)))) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))
(if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 3 binary64)) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 w (.f64 (.f64 r w) (.f64 r #s(literal -1/4 binary64))) #s(literal -3/2 binary64)))) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))
(if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal -500000000000000000000 binary64)) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w (* (* r r) 3/8)) w) 3/2)) (.f64 (.f64 w (.f64 (.f64 r r) w)) #s(literal -3/8 binary64)))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))
(if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal -inf.0 binary64)) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (.f64 #s(literal -1/4 binary64) (.f64 w (.f64 (.f64 r r) w))))) (if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal -500000000000000000000 binary64)) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w w) (* 3/8 (* r r))) 3/2)) (.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal -3/8 binary64))))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))))
(if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal -500000000000000000000 binary64)) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (.f64 #s(literal -1/4 binary64) (.f64 w (.f64 (.f64 r r) w))))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
(if (<=.f64 r #s(literal 4593918114535591/4835703278458516698824704 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (.f64 r r))) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) #s(approx (+ (* -1/4 (* w (* (* r r) w))) -3/2) #s(literal -3/2 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) #s(approx (+ (* -1/4 (* w (* (* r r) w))) -3/2) #s(literal -3/2 binary64))))

Outputs
(if (<=.f64 (.f64 w w) #s(literal 8739899877464283/873989987746428259412194333913416701987357762822590714399458303903535888835232670878457161432636363996257309241302481691723537010408733419813385804491106555801784494262060916206872597091033287849274902594962928694944169726768114734355431735427072 binary64)) (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (.f64 w (.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (/.f64 (.f64 (*.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) w) #s(literal 9/2 binary64))))
(if (<=.f64 (.f64 w w) #s(literal 8739899877464283/873989987746428259412194333913416701987357762822590714399458303903535888835232670878457161432636363996257309241302481691723537010408733419813385804491106555801784494262060916206872597091033287849274902594962928694944169726768114734355431735427072 binary64)) (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (.f64 w (.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 w (/.f64 (.f64 r (*.f64 w r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))))
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(if (<=.f64 w #s(literal 499999999999999989808522084376857585553564725933420826033816059478724227392780555018085723055197992539301255695814786059441754879368190130759447389960039529302154427470988612958966251520 binary64)) (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (.f64 w (.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (.f64 w (.f64 (.f64 r r) #s(literal -1/4 binary64))) w (/.f64 #s(literal 2 binary64) (.f64 r r))))))
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(if (<=.f64 r #s(literal 5996272065288561/19342813113834066795298816 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) w #s(literal 3/2 binary64)))) (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (.f64 (.f64 w (.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64))))
(if (<=.f64 r #s(literal 4593918114535591/4835703278458516698824704 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) w #s(literal 3/2 binary64)))) (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 (.f64 (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64)) w) (/.f64 (.f64 (*.f64 r w) r) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))))
(if (<=.f64 r #s(literal 4593918114535591/4835703278458516698824704 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) w #s(literal 3/2 binary64)))) (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (fma.f64 (.f64 w (fma.f64 v #s(literal -1/4 binary64) #s(literal 3/8 binary64))) (/.f64 (.f64 r (*.f64 w r)) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64))))
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(if (<=.f64 v #s(literal -55000000000000000 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 w #s(literal -1/4 binary64)) (.f64 r (.f64 w r)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64)))) (if (<=.f64 v #s(literal 3486039150627631/633825300114114700748351602688 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 r (.f64 w (.f64 r #s(literal 3/8 binary64)))) w #s(literal 3/2 binary64)))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 w #s(literal -1/4 binary64)) (.f64 r (.f64 w r)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64))))))
(if (<=.f64 v #s(literal -75000000000000000 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 r #s(literal -1/4 binary64)) (.f64 (.f64 r w) w) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64)))) (if (<=.f64 v #s(literal 3486039150627631/633825300114114700748351602688 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 (.f64 w (.f64 r #s(literal 3/8 binary64))) r) w #s(literal 3/2 binary64)))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 r #s(literal -1/4 binary64)) (.f64 (.f64 r w) w) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64))))))
(if (<=.f64 v #s(literal -75000000000000000 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 r #s(literal -1/4 binary64)) (.f64 w (.f64 w r)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64)))) (if (<=.f64 v #s(literal 3486039150627631/633825300114114700748351602688 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 r (.f64 w (.f64 r #s(literal 3/8 binary64)))) w #s(literal 3/2 binary64)))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (.f64 r #s(literal -1/4 binary64)) (.f64 w (.f64 w r)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(literal -3/2 binary64))))))
(if (<=.f64 v #s(literal -460000000000000000 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (.f64 r r))))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 (.f64 w (.f64 r #s(literal 3/8 binary64))) r) w #s(literal 3/2 binary64)))))
(if (<=.f64 v #s(literal -460000000000000000 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (.f64 w (.f64 (.f64 r r) #s(literal -1/4 binary64))) w (/.f64 #s(literal 2 binary64) (.f64 r r))))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 r (.f64 w (.f64 r #s(literal 3/8 binary64)))) w #s(literal 3/2 binary64)))))
(if (<=.f64 (.f64 w w) #s(literal 2196735251241795/219673525124179510879420825570604582952621929604585773100622830693937381868724993667921908501166545759273481964527387457187903615990932602002368905315681828864 binary64)) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 r #s(literal 3/8 binary64)) (.f64 w (.f64 r w)) #s(literal 3/2 binary64)))) (if (<=.f64 (.f64 w w) #s(literal 50000000000000001930449714370975720139701025745675219477211914784288695508246371335098695877271585171777875451431577515195663644768354254411583398686815316200363393024 binary64)) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 r r)) w) w (/.f64 #s(literal 2 binary64) (.f64 r r))))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) w #s(literal 3/2 binary64))))))
(if (<=.f64 (.f64 w w) #s(literal 2196735251241795/219673525124179510879420825570604582952621929604585773100622830693937381868724993667921908501166545759273481964527387457187903615990932602002368905315681828864 binary64)) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 r #s(literal 3/8 binary64)) (.f64 w (.f64 w r)) #s(literal 3/2 binary64)))) (if (<=.f64 (.f64 w w) #s(literal 50000000000000001930449714370975720139701025745675219477211914784288695508246371335098695877271585171777875451431577515195663644768354254411583398686815316200363393024 binary64)) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (fma.f64 (.f64 w (.f64 (.f64 r r) #s(literal -1/4 binary64))) w (/.f64 #s(literal 2 binary64) (.f64 r r))))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) (fma.f64 (.f64 w (.f64 (.f64 r r) #s(literal 3/8 binary64))) w #s(literal 3/2 binary64))))))
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(if (<=.f64 r #s(literal 4593918114535591/4835703278458516698824704 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 r r)) #s(approx (+ ( (* w (* (* r r) 3/8)) w) 3/2) (.f64 #s(literal 3/8 binary64) (.f64 w (.f64 w (.f64 r r))))))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 (.f64 w (.f64 r #s(literal -1/4 binary64))) (*.f64 w r) #s(literal -3/2 binary64)))))
(if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 3 binary64)) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 (.f64 (.f64 r #s(literal -1/4 binary64)) w) (.f64 r w) #s(literal -3/2 binary64)))) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))
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(if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 3 binary64)) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 w (.f64 (.f64 r w) (.f64 r #s(literal -1/4 binary64))) #s(literal -3/2 binary64)))) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))
(if (<=.f64 (+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 r (.f64 (.f64 w w) r)) (.f64 #s(literal 1/8 binary64) (-.f64 (.f64 #s(literal 2 binary64) v) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v))) #s(literal 3 binary64)) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (fma.f64 w (.f64 (.f64 w r) (.f64 r #s(literal -1/4 binary64))) #s(literal -3/2 binary64)))) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))))
(if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal -500000000000000000000 binary64)) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w (* (* r r) 3/8)) w) 3/2)) (.f64 (.f64 w (.f64 (.f64 r r) w)) #s(literal -3/8 binary64)))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))
(if (<=.f64 (+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 r (.f64 (.f64 w w) r)) (.f64 #s(literal 1/8 binary64) (-.f64 (.f64 #s(literal 2 binary64) v) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v))) #s(literal -500000000000000000000 binary64)) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w (* (* r r) 3/8)) w) 3/2)) (.f64 (.f64 w (.f64 w (.f64 r r))) #s(literal -3/8 binary64)))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))))
(if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal -inf.0 binary64)) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (.f64 #s(literal -1/4 binary64) (.f64 w (.f64 (.f64 r r) w))))) (if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal -500000000000000000000 binary64)) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w w) (* 3/8 (* r r))) 3/2)) (.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal -3/8 binary64))))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))))
(if (<=.f64 (+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 r (.f64 (.f64 w w) r)) (.f64 #s(literal 1/8 binary64) (-.f64 (.f64 #s(literal 2 binary64) v) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v))) #s(literal -inf.0 binary64)) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (.f64 #s(literal -1/4 binary64) (.f64 w (.f64 w (.f64 r r)))))) (if (<=.f64 (+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 r (.f64 (.f64 w w) r)) (.f64 #s(literal 1/8 binary64) (-.f64 (.f64 #s(literal 2 binary64) v) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v))) #s(literal -500000000000000000000 binary64)) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) (+ (* (* w w) (* 3/8 (* r r))) 3/2)) (.f64 (.f64 r r) (.f64 (.f64 w w) #s(literal -3/8 binary64))))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))))
(if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) v))) (.f64 (.f64 (.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal -500000000000000000000 binary64)) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (.f64 #s(literal -1/4 binary64) (.f64 w (.f64 (.f64 r r) w))))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))))
(if (<=.f64 (+.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (.f64 r r))) (/.f64 (.f64 (.f64 r (.f64 (.f64 w w) r)) (.f64 #s(literal 1/8 binary64) (-.f64 (.f64 #s(literal 2 binary64) v) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v))) #s(literal -500000000000000000000 binary64)) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) (.f64 #s(literal -1/4 binary64) (.f64 w (.f64 w (.f64 r r)))))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal -3/2 binary64)))
(if (<=.f64 r #s(literal 4593918114535591/4835703278458516698824704 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (.f64 r r))) #s(approx (- (- (+ 3 (/ 2 ( r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) #s(approx (+ (* -1/4 (* w (* (* r r) w))) -3/2) #s(literal -3/2 binary64)))))
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ -3/2 (+ (* (* (* -1/4 (* r r)) w) w) (/ 2 (* r r)))) #s(approx (+ (* -1/4 (* w (* (* r r) w))) -3/2) #s(literal -3/2 binary64))))

soundness2.2s (14.3%)

Memory

20.7MiB live, 1 896.0MiB allocated

Rules

25 918×	`lower-fma.f64`
25 918×	`lower-fma.f32`
18 942×	`lower-fma.f64`
18 942×	`lower-fma.f32`
16 820×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	374
0	92	359
1	434	322
2	3524	322
0	8751	300
0	63	422
0	92	420
1	410	380
2	3416	380
0	8396	356
0	58	359
0	86	352
1	383	321
2	3465	321
0	8188	298
0	400	11630
1	1298	10799
2	4298	10429
0	8745	9769
0	22	114
0	36	114
1	149	104
2	1353	104
0	8965	94
0	306	9297
1	967	8905
2	3147	8324
0	8507	7853
0	386	10340
1	1292	9900
2	4525	9417
0	8378	8801
0	227	4018
1	745	3856
2	2580	3578
0	8212	3390

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 2 018 to 891 computations (55.8% saved)

preprocess126.0ms (0.8%)

Memory

-6.1MiB live, 306.5MiB allocated

Remove

(abs w)

(abs r)

Compiler

Compiled 2 282 to 538 computations (76.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze117.0ms (0.8%)

sample1.5s (9.9%)

preprocess595.0ms (3.9%)

explain290.0ms (1.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify422.0ms (2.7%)

localize84.0ms (0.5%)

series34.0ms (0.2%)

simplify573.0ms (3.7%)

rewrite374.0ms (2.4%)

eval82.0ms (0.5%)

prune99.0ms (0.6%)

simplify556.0ms (3.6%)

localize321.0ms (2.1%)

series63.0ms (0.4%)

simplify488.0ms (3.2%)

rewrite553.0ms (3.6%)

eval344.0ms (2.2%)

prune229.0ms (1.5%)

simplify512.0ms (3.3%)

localize165.0ms (1.1%)

series53.0ms (0.3%)

simplify764.0ms (5%)

rewrite371.0ms (2.4%)

eval200.0ms (1.3%)

prune240.0ms (1.6%)

simplify401.0ms (2.6%)

localize308.0ms (2%)

series52.0ms (0.3%)

simplify600.0ms (3.9%)

rewrite379.0ms (2.5%)

eval165.0ms (1.1%)

prune671.0ms (4.4%)

regimes104.0ms (0.7%)

regimes88.0ms (0.6%)

regimes42.0ms (0.3%)

regimes52.0ms (0.3%)

regimes45.0ms (0.3%)

regimes30.0ms (0.2%)

regimes12.0ms (0.1%)

regimes29.0ms (0.2%)

regimes19.0ms (0.1%)

regimes157.0ms (1%)

regimes87.0ms (0.6%)

regimes158.0ms (1%)

regimes9.0ms (0.1%)

regimes56.0ms (0.4%)

regimes7.0ms (0%)

regimes42.0ms (0.3%)

regimes12.0ms (0.1%)

regimes56.0ms (0.4%)

regimes8.0ms (0.1%)

bsearch1.0ms (0%)

bsearch3.0ms (0%)

bsearch52.0ms (0.3%)

bsearch13.0ms (0.1%)

bsearch137.0ms (0.9%)

bsearch12.0ms (0.1%)

bsearch54.0ms (0.4%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

simplify94.0ms (0.6%)

soundness2.2s (14.3%)

preprocess126.0ms (0.8%)

end0.0ms (0%)

Profiling